Rural Food System Change in Tanzania during the Post-Ujamaa Era. A Case Study from Western Bagamoyo District

Food systems in Sub-Saharan Africa have been rapidly transforming during the recent decades with diverse outcomes on human development and environment. This study explores the food system change in rural villages in eastern Tanzania where subsistence agriculture has traditionally been the main source of livelihood. The focus is on the salient changes in the spatial dimensions and structural composition of the food system in the context of economic liberalization that has taken place after the end of the socialist ujamaa era in the mid-1980s. In addition, the linkages of the changes are examined in relation to food security, socio-economic situation, livelihoods, and local environment. The approach of the study is geographical, but also involves various multi-disciplinary elements, particularly from development studies. The research methods included thematic and questionnaire interviews, participatory tools, and the analysis of land use/ cover data and official documents. Several earlier studies that were made in the area during the late 1970s and 1980s provided an important reference base. The study shows that subsistence farming has lost its dominant role in food provisioning due to the declining productivity of land, livestock losses, and the increasing shift of labour to non-farm sectors. Also rapid population growth has added to the pressure on land and other natural resources. Despite the increasing need for money for buying marketed foods and other necessities, the nutritional situation shows improvement and severe malnutrition has diminished. However, the long-term sustainability of this transformation raises concerns. Firstly, the food security situation continues to be fragile and prone to shocks such as adverse climatic conditions, crop failures and price hikes. Secondly, the commodification of the food system and livelihoods in general is linked to rapid environmental degradation in the area, particularly the loss of soil fertility and deforestation. The situation calls for efforts that take more determined and holistic approaches towards sustainable development of the rural food system with particular focus on the role and viability of small-scale farming.

Theorizing Formal and Informal Feedback Practices in Management Accounting Through Three Dimensions

The purpose of this doctoral thesis is to widen and develop our theoretical frameworks for discussion and analyses of feedback practices in management accounting, particularly shedding light on its formal and informal aspects. The concept of feedback in management accounting has conventionally been analyzed within cybernetic control theory, in which feedback flows as a diagnostic or comparative loop between measurable outputs and pre-set goals (see e.g. Flamholtz et al. 1985; Flamholtz 1996, 1983), i.e. as a formal feedback loop. However, the everyday feedback practices in organizations are combinations of formal and informal elements. In addition to technique-driven feedback approaches (like budgets, measurement, and reward systems) we could also categorize social feedback practices that managers see relevant and effective in the pursuit of organizational control. While cybernetics or control theories successfully capture rational and measured aspects of organizational performance and offer a broad organizational context for the analysis, many individual and informal aspects remain vague and isolated. In order to discuss and make sense of the heterogeneous field of interpretations of formal and informal feedback, both in theory and practice, dichotomous approaches seem to be insufficient. Therefore, I suggest an analytical framework of formal and informal feedback with three dimensions (3D’s): source, time, and rule. Based on an abductive analysis of the theoretical and empirical findings from an interpretive case study around a business unit called Division Steelco, the 3Dframework and formal and informal feedback practices are further elaborated vis-á-vis the four thematic layers in the organizational control model by Flamholtz et al. (1985; Flamholtz 1996, 1983): core control system, organizational structure, organizational culture, and external environment. Various personal and cultural meanings given to the formal and informal feedback practices (“feedback as something”) create multidimensional interpretative contexts. Multidimensional frameworks aim to capture and better understand both the variety of interpretations and their implications to the functionality of feedback practices, important in interpretive research.

Strategic Innovation Management Based on Three Dimensions

This thesis examines innovation development needs of firms in a remote rural region. The perspective of the study is in strategic innovation management and three dimensions of innovation development: innovation environment, value delivery and innovation capability. The framework is studied with a theoretical and methodological approach in the context of the development of a regional innovation system and the defining of innovation development needs. The thesis is based on existing innovation management literature, expanding it by examining the features of the three dimensions. The empirical data of the study comprise 50 purposefully selected firms within the region of Pielinen Karelia located in Eastern Finland. Most of the firms (70%) included in the study represent manufacturing firms, and over 90% are small and medium-sized enterprises. The research data consist of two questionnaires and an interview, which were done during 2011 in the connection of a regional development project. The point of view of the research is in regional development and harnessing the innovation capability of the firms within the region. The principal research approach applies soft systems methodology. The study explores the means to foster the innovativeness of firms from the viewpoints of innovation environment, innovation capability and value delivery. In closer detail, the study examines relations between the innovation capability factors, differences in innovation development needs within the value delivery system, between sectors and between firm size categories. The thesis offers three major contributions. First, the study extends earlier research on strategic innovation management by connecting the frameworks of innovation capability, innovation environment and value delivery process to the defining of innovation development needs at the regional level. The results deepen knowledge especially concerning practice-based innovation, peripheral regions and smaller firms. Second, the empirical work, based on a case study, confirms the existence of a structural connection integrating five factors of innovation capability. Statistical evidence is provided especially for the positive impacts of the improvement of absorption capability, marketing capability and networking capability, which are the main weaknesses of firms according to the study. Third, the research provides a methodological contribution by applying the innovation matrix in the defining of the innovation development needs of firms. The study demonstrates how the matrix improves possibility to target policy instruments and innovation services more efficiently through indicating significant differences between the innovation support needs regarding various time horizons and phases of innovation process.

In search of information systems value : a case study of the EHR benefits realisation efforts of three Swedish hospitals.

The Swedish public health care organisation could very well be undergoing its most significant change since its specialisation during the late 19th and early 20th century. At the heart of this change is a move from using manual patient journals to electronic health records (EHR). EHR are complex integrated organisational wide information systems (IS) that promise great benefits and value as well as presenting great challenges to the organisation. The Swedish public health care is not the first organisation to implement integrated IS, and by no means alone in their quest for realising the potential benefits and value that it has to offer. As organisations invest in IS they embark on a journey of value-creation and capture. A journey where a costbased approach towards their IS-investments is replaced with a value-centric focus, and where the main challenges lie in the practical day-to-day task of finding ways to intertwine technology, people and business processes. This has however proven to be a problematic task. The problematic situation arises from a shift of perspective regarding how to manage IS in order to gain value. This is a shift from technology delivery to benefits delivery; from an ISimplementation plan to a change management plan. The shift gives rise to challenges related to the inability of IS and the elusiveness of value. As a response to these challenges the field of IS-benefits management has emerged offering a framework and a process in order to better understand and formalise benefits realisation activities. In this thesis the benefits realisation efforts of three Swedish hospitals within the same county council are studied. The thesis focuses on the participants of benefits analysis projects; their perceptions, judgments, negotiations and descriptions of potential benefits. The purpose is to address the process where organisations seek to identify which potential IS-benefits to pursue and realise, this in order to better understand what affects the process, so that realisation actions of potential IS-benefits could be supported. A qualitative case study research design is adopted and provides a framework for sample selection, data collection, and data analysis. It also provides a framework for discussions of validity, reliability and generalizability. Findings displayed a benefits fluctuation, which showed that participants’ perception of what constituted potential benefits and value changed throughout the formal benefits management process. Issues like structure, knowledge, expectation and experience affected perception differently, and this in the end changed the amount and composition of potential benefits and value. Five dimensions of benefits judgment were identified and used by participants when finding accommodations of potential benefits and value to pursue. Identified dimensions affected participants’ perceptions, which in turn affected the amount and composition of potential benefits. During the formal benefits management process participants shifted between judgment dimensions. These movements emerged through debates and interactions between participants. Judgments based on what was perceived as expected due to one’s role and perceived best for the organisation as a whole were the two dominant benefits judgment dimensions. A benefits negotiation was identified. Negotiations were divided into two main categories, rational and irrational, depending on participants’ drive when initiating and participating in negotiations. In each category three different types of negotiations were identified having different characteristics and generating different outcomes. There was also a benefits negotiation process identified that displayed management challenges corresponding to its five phases. A discrepancy was also found between how IS-benefits are spoken of and how actions of IS benefits realisation are understood. This was a discrepancy between an evaluation and a realisation focus towards IS value creation. An evaluation focus described IS-benefits as well-defined and measurable effects and a realisation focus spoke of establishing and managing an on-going place of value creation. The notion of valuescape was introduced in order to describe and support the understanding of IS value creation. Valuescape corresponded to a realisation focus and outlined a value configuration consisting of activities, logic, structure, drivers and role of IS.

Store experiences and their influence on store performance and brand strength: Case Samsung Experience Store

Experiential marketing is increasingly seen as a new magical key to consumers’ hearts. Brands are turning brick-and-mortar stores into state of the art retail spaces where memorable experiences and strong brand relationships are hoped to be born. Around the globe, several brands have opened up a special format of stores – the experience store. Although many speculations on the positive effects of experiences have been presented, few studies have provided empirical, quantified evidence for the link between store experiences and brand success. In consequence, research was needed to find out whether experience stores truly are so special. The purpose of this thesis was to investigate whether store experiences are capable of building brands and influencing store performance. For this purpose, empirical research was conducted in the Samsung Experience Store Helsinki. As main constructs of the study, store experience, brand equity, store performance, and product class involvement were measured, along with relevant background variables. Data was collected with an electronic survey from actual customers of the store, resulting in a sample of 131 respondents. Partial least squares structural equations modeling (PLS) was used for the analysis of the research model. Also, regression analysis was conducted to account for mediation and moderation effects. The results showed that store experiences do positively influence first, store performance, and second, separate dimensions of brand equity (that is, brand awareness, brand personality, and brand loyalty). Also, the effect of store experiences on store performance was found to be mediated by brand equity. Interestingly, customers’ product class involvement was detected to moderate the effect of store experience on store performance. That is, those who were highly involved with electronics had greater store experiences, and also displayed a stronger linkage between store experience and store performance. The results encourage marketers to continue with efforts to create great experiences for their customers. Experience stores can – and should be seen – as both powerful brand building tools and profitable sales channels. The creation of exceptional experiences can act as an important function of physical stores in the face of severe online competition.

Aineettomien riskien hallinta – case Itä-Suomen Biopankki

Aineeton pääoma nähdään organisaation keskeisenä kilpailutekijänä ja voimavarana. Se voi kuitenkin joissain tilanteissa olla organisaatiolle myös rasite tai jopa menestymistä heikentävä tekijä. Tutkimuksen tavoitteena oli laatia biopankin riskienhallinnalle malli, joka huomioi toimintaan vaikuttavat aineettomat riskitekijät ja toimii strategisena johtamisen ja toiminnan kehittämisen työvälineenä. Tutkimus toteutettiin tapaustutkimuksena, jossa käytettiin konstruktiivista tutkimusotetta. Biopankille luotiin konstruktio, riskienhallintamalli, jolla pyrittiin ratkaisemaan reaalimaailman ongelma ja samalla luomaan kontribuutiota tieteenalalle. Biopankki on uudentyyppinen organisaatio, joka kerää, hallinnoi ja säilyttää biologisia ihmisperäisiä näytteitä ja niihin liittyviä tietoja tulevaa tutkimusta varten. Toiminnan riskien taustasyyt ovat usein aineettomia, kuten toimintakulttuuri, asenne, osaaminen tai motivaatio. Tutkimuksessa löydettiin uusia biopankin toimintaan kytkeytyviä aineettomia riskejä koko aineettoman pääoman alueelta ja määriteltiin riskitasoihin perustuva lähestymistapa riskien hallintaan. Konstruktio aineettomien riskien hallintamalliksi sai selkeää vahvistusta tutkimuksen aineistosta, ja se voi toimia organisaation kehittämisen pohjana. Riskikartan luominen ja riskien arviointi ovat tekohetken poikkileikkauksia tilanteesta. Organisaation toiminta ja siihen kohdistuvat riskit ja mahdollisuudet muuttuvat ja kehittyvät. Riskien tunnistaminen lisää tietoa organisaatiosta ja sen toimintaympäristöstä, mikä luo puitteet myös uusien mahdollisuuksien tunnistamiselle. Sopivan riskienhallintamallin avulla voidaan löytää kilpailuetua suhteessa muihin organisaatioihin. Kilpailuetuna voi toimia myös muita parempi riskinkantokyky esimerkiksi toiminnan joustavuuden kautta.

The transforming network of a foreign company operating in Mongolia. Case: A Finnish firm in Mongolia

In the globalising business environment ever fewer market areas remain unknown. Mongolia is yet only considered as an isolated strip between two power states. The purpose of this study is to put Mongolia on the map of academic business research. This is done by describing the transforming network of a foreign company operating in Mongolia. The objective of the study is approached through a case study, which presents the transformation of a Finnish company operating in Mongolia. This study aims at providing understanding on how the foreign case company observes the transformations of its network. The transformation within the case company is reflected to the transformations that occur in the Mongolian business environment. This study was conducted through a qualitative, intrinsic case study approach. The empirical data was gathered by using the method of network pictures. The network pictures were completed with the assistance of themed interviews. In order to be able to analyse the transformation within a network, three different time periods were observed: the past period around 2000, the present around 2014, and the estimated future around 2020. The data was collected from four executives positioned either in Finland, Russia or Mongolia. The respondents have a long experience within the case company, they hold managerial position, and therefore were able to offer valuable data for this study. The analytical framework used to analyse the collected data was built on the industrial network model, the ARA (actors-resources-activities)-model. The study shows that the changing business environment of Mongolia was utilised by the case company. In order to better meet the transforming customer wishes, the case company transformed from being a retailer to being a manufacturer. The case company was able to become a pioneer in the market. Thus, the case company has undergone similar kind of rapid transformation as the economy of Mongolia in entirety. This study shows that the general nature of the ARA-model makes it usable for new research contexts. The initial ARA-model offers a way to identify the dimensions of a network and a mean to understand these dimensions. The ARA-model can be applied to different contexts and to all time dimensions, past, present and future. The managerial recommendations offered in this study are directed towards the managers that plan to start operations in Mongolia. While this study is the first of its kind, it offers a good starting point for the future research on the change of Mongolian business networks. Valuable information could, for example, be obtained from a comparative study between the case company of this study and a multinational mining company operating in Mongolia.

EU Strategy for the Baltic Sea Region: its added value in environmental social and economic dimensions

The European Council has invited the European Commission to present the first macro-regional strategy – the EU Strategy for the Baltic Sea Region (EUSBSR) on the 14th of December 2007, primarily to address collective challenges and opportunities of the Region and also to engender cohesion in support of an European integration policy. However, macro-regional strategies conceived to aid European integration and territorial cohesion were viewed by academics with skepticism, obscuring the strategies’ potential impact. This thesis intends to investigate and measure the added value of the EUSBSR in order to analyze its impact on regional development and its feasibility as a guide for future programs intending to strengthen European cohesion and integration. To determine the added value of the EUSBSR the thesis is organized into three sections, so as to address environmental, social, and economic concerns, respectively. The first case examines EU-Russia cooperation in an environmental context to investigate how environmental cooperation with an external neighbor could forge increased cohesion in a macro-regional setting. To figure the added cooperation that academic cooperation among universities would contribute to social dimension, the work has chosen several study results. Lastly, to measure out the added value for the economic strategy objective, the study employs the project for Improved Global Competitiveness in an example of ‘A Baltic Sea Region Program for Innovation, Cluster and SME-Networks’ as an economic plan.

Wellspring: an intrinsic case study of community-based education for adults living with cancer /

This paper presents education research as vital to addressing the issues faced by adults living with cancer. This qualitative study looked at philosophies of practice for cancer patient education. It was about understanding how values and beliefs shape the way program planners and managers operationalize their knowledge of adult education and how this has significant impact on meeting the needs of those touched by cancer. Improved technology has extended life expectancy, so that Canadians living with cancer, or even dying with cancer now spend less time in direct medical care. The notion of cancer as simply a medical concern is outdated. This study found that informational and support needs of adults living with cancer are often unmet, ignored or unknown. This research investigated a community-based education initiative that is inviting, accessible, and promotes a sense of hope. More specifically, this case study uncovered factors contributing to the success of Wellspring, a grass-roots cancer patient support centre which has been recognized nationally for its ability to effectively meet the diverse non-medical supportive care needs of as many cancer patients and caregivers as possible. Therefore, Wellspring was selected as a case study. Educating people to take charge of their own lives and supporting them in making informed decisions about their lifestyle choices made Wellspring part of a social action movement that focused on improving social attitudes toward people living with cancer. Results of this descriptive inquiry and philosophical inquiry evolved into data that was used to devise an organic model of community-based education that encompasses Adler's (1993) four dimensions of philosophy within a socio-cultural context.

Greener Golf Operations: A Comparative Case Study of Ontario Golf Courses Engaged in Environmental Sustainability Initiatives

This research explored environmental sustainability (ES) initiatives at five top-ranked Ontario golf courses that were members of the Audubon Cooperative Sanctuary Program for Golf (ACSP). Research Questions: (1) How are golf courses adapting to safeguard the natural environment? (2) Why or why not are golf courses moving to ES? and (3) What are the arising barriers to ES in golf and how can they be overcome; what role does communication play? Overall, the research was framed with an adaptation of the dimensions of convergence by Houlihan (2012), including the motives, inputs, implementation, momentum, and impact. Additionally, impression management and message framing constructs were utilized to address the issue of communicating ES initiatives. Data collection involved in-depth interviews, observations, and unobtrusive document collection. Environmental aspects of the examination were guided by the Canadian Standards Association (CSA) Requirements and Guidance for Organizers of Sustainable Events and Sustainable Sport and Event Toolkit (SSET).

Group-invariant solutions of semilinear Schrodinger equations in multi-dimensions

Symmetry group methods are applied to obtain all explicit group-invariant radial solutions to a class of semilinear Schr¨odinger equations in dimensions n = 1. Both focusing and defocusing cases of a power nonlinearity are considered, including the special case of the pseudo-conformal power p = 4/n relevant for critical dynamics. The methods involve, first, reduction of the Schr¨odinger equations to group-invariant semilinear complex 2nd order ordinary differential equations (ODEs) with respect to an optimal set of one-dimensional point symmetry groups, and second, use of inherited symmetries, hidden symmetries, and conditional symmetries to solve each ODE by quadratures. Through Noether’s theorem, all conservation laws arising from these point symmetry groups are listed. Some group-invariant solutions are found to exist for values of n other than just positive integers, and in such cases an alternative two-dimensional form of the Schr¨odinger equations involving an extra modulation term with a parameter m = 2−n = 0 is discussed.

What are the components of humanized childbirth in a highly specialized hospital? : an organizational case study

Many studies have focused on the concept of humanization of birth in normal pregnancy cases or at low obstetric risk, but no studies, at our knowledge, have so far specifically focused on the humanization of birth in both high-risk, and low risk pregnancies, in a highly specialized hospital setting. The present study thus aims to: 1) define the specific components of the humanized birth care model which bring satisfaction to women who seek obstetrical care in highly specialized hospitals; and 2) explore the organizational and cultural dimensions which act as barriers or facilitators for the implementation of humanized birth care practices in a highly specialized, university affiliated hospital in Quebec. A single case study design was chosen for this thesis. The data were collected through semi-structured interviews, field notes, participant observations, selfadministered questionnaire, relevant documents, and archives. The samples comprised: 11 professionals from different disciplines, 6 administrators from different hierarchical levels within the hospital, and 157 women who had given birth at the hospital during the study. The performed analysis covered both quantitative descriptive and qualitative deductive and inductive content analyses. The thesis comprises three articles. In the first article, we proposed a conceptual framework, based on Allaire and Firsirotu’s (1984) organizational culture theory. It attempts to examine childbirth patterns as an organizational cultural phenomenon. In our second article, we answered the following specific question: according to the managers and multidisciplinary professionals practicing in a highly specialized hospital as well as the women seeking perinatal care in this hospital setting, what is the definition of humanized care? Analysis of the data collected uncovered the following themes which explained the perceptions of what humanized birth was: personalized care, recognition of women’s rights, humanly care for women, family-centered care,women’s advocacy and companionship, compromise of security, comfort and humanity, and non-stereotyped pregnancies. Both high and low risk women felt more satisfied with the care they received if they were provided with informed choices, were given the right to participate in the decision-making process and were surrounded by competent care providers. These care providers who humanly cared for them were also able to provide relevant medical intervention. The professionals and administrators’ perceptions of humanized birth, on the other hand, mostly focused on personalized and family-centered care. In the third article of the thesis, we covered the dimensions of the internal and external components of an institution which can act as factors that facilitate or barriers that prevent, a specialized and university affiliated hospital in Quebec from adopting a humanized child birthing care. The findings revealed that both the external dimensions of a highly specialized hospital -including its history, society, and contingency-; and its internal dimensions -including culture, structure, and the individuals present in the hospital-, can all affect the humanization of birth care in such an institution, whether separately, simultaneously or in interaction. We thus hereby conclude that the humanization of birth care in a highly specialized hospital setting, should aim to meet all the physiological, as well as psychological aspects of birth care, including respect of the fears, beliefs, values, and needs of women and their families. Integration of competent and caring professionals and the use of obstetric technology to enhance the level of certainty and assurance in both high-risk and low risk women are both positive factors for the implementation of humanized care in a highly specialized hospital. Finally, the humanization of birth care approach in a highly specialized and university affiliated hospital setting demands a new healthcare policy. Such policy must offer a guarantee for women to have the place of birth, and the health care professional of their choice as well as those, which will enable women to make informed choices from the beginning of their pregnancy.

A historical case study analysis of the establishment of charismatic leadership in a Protestant Reformation cultic group and its role in the recourse to violence

La recherche sur les questions touchant aux leaders de groupes sectaires et à la violence sectaire a mené à l’étude du rôle joué par l’autorité charismatique, tel que défini par Weber (1922) et repris par Dawson (2010). À ce sujet, d’éminents spécialistes des études sur les sectes sont d’avis qu’un vide important dans la recherche sur l’autorité charismatique dans le contexte de groupes sectaires et de nouveaux mouvements religieux reste à combler (ajouter les références ‘d’éminents spécialistes’). Ce mémoire vise à contribuer à l’étude cet aspect négligé, le rôle de l’autorité charismatique dans le recours è la violence dans les groupes sectaires, par une étude de cas historique d’un groupe de la Réformation protestante du XVIe siècle, le Royaume anabaptiste de Münster (AKA), sous l’influence d’un leader charismatique, Jan van Leiden. Cette recherche s’intéresse plus spécifiquement aux divers moyens utilisés par Jan van Leiden, pour asseoir son autorité charismatique et à ceux qui ont exercé une influence sur le recours à des actes de violence. L’étude de cas est basé sur le matériel provenant de deux comptes-rendus des faits relatés par des participants aux événements qui se sont déroulés à pendant le règne de Leiden à la tête du AKA. L’analyse du matériel recueilli a été réalisé à la lumière de trois concepts théoriques actuels concernant le comportement cultuel et le recours à la violence.. L’application de ces concepts théoriques a mené à l’identification de quatre principales stratégies utilisées par Jan van Leiden pour établir son autorité charismatique auprès de ses disciples, soit : 1) la menace du millénarisme, 2) l’exploitation d’une relation bilatérale parasitique avec ses disciples, 3) l’utilisation de l’extase religieuse et de la prophétie, 4) l’utilisation du désir de voir survenir des changements sociaux et religieux. En plus de ces quatre stratégies, trois autres dimensions ont été retenues comme signes que le recours à la violence dans le Royaume anabaptiste de Münster résultait de l’établissement de l’autorité charismatique de son leader, soit : 1) la violence liée au millénarisme, 2) la notion d’identité et de violence partagée, 3) des facteurs systémiques, physiques et culturels menant à la violence.

Propriétés géométriques des surfaces associées aux solutions des modèles sigma grassmanniens en deux dimensions

Dans cette thèse, nous analysons les propriétés géométriques des surfaces obtenues des solutions classiques des modèles sigma bosoniques et supersymétriques en deux dimensions ayant pour espace cible des variétés grassmanniennes G(m,n). Plus particulièrement, nous considérons la métrique, les formes fondamentales et la courbure gaussienne induites par ces surfaces naturellement plongées dans l'algèbre de Lie su(n). Le premier chapitre présente des outils préliminaires pour comprendre les éléments des chapitres suivants. Nous y présentons les théories de jauge non-abéliennes et les modèles sigma grassmanniens bosoniques ainsi que supersymétriques. Nous nous intéressons aussi à la construction de surfaces dans l'algèbre de Lie su(n) à partir des solutions des modèles sigma bosoniques. Les trois prochains chapitres, formant cette thèse, présentent les contraintes devant être imposées sur les solutions de ces modèles afin d'obtenir des surfaces à courbure gaussienne constante. Ces contraintes permettent d'obtenir une classification des solutions en fonction des valeurs possibles de la courbure. Les chapitres 2 et 3 de cette thèse présentent une analyse de ces surfaces et de leurs solutions classiques pour les modèles sigma grassmanniens bosoniques. Le quatrième consiste en une analyse analogue pour une extension supersymétrique N=2 des modèles sigma bosoniques G(1,n)=CP^(n-1) incluant quelques résultats sur les modèles grassmanniens. Dans le deuxième chapitre, nous étudions les propriétés géométriques des surfaces associées aux solutions holomorphes des modèles sigma grassmanniens bosoniques. Nous donnons une classification complète de ces solutions à courbure gaussienne constante pour les modèles G(2,n) pour n=3,4,5. De plus, nous établissons deux conjectures sur les valeurs constantes possibles de la courbure gaussienne pour G(m,n). Nous donnons aussi des éléments de preuve de ces conjectures en nous appuyant sur les immersions et les coordonnées de Plücker ainsi que la séquence de Veronese. Ces résultats sont publiés dans la revue Journal of Geometry and Physics. Le troisième chapitre présente une analyse des surfaces à courbure gaussienne constante associées aux solutions non-holomorphes des modèles sigma grassmanniens bosoniques. Ce travail généralise les résultats du premier article et donne un algorithme systématique pour l'obtention de telles surfaces issues des solutions connues des modèles. Ces résultats sont publiés dans la revue Journal of Geometry and Physics. Dans le dernier chapitre, nous considérons une extension supersymétrique N=2 du modèle sigma bosonique ayant pour espace cible G(1,n)=CP^(n-1). Ce chapitre décrit la géométrie des surfaces obtenues des solutions du modèle et démontre, dans le cas holomorphe, qu'elles ont une courbure gaussienne constante si et seulement si la solution holomorphe consiste en une généralisation de la séquence de Veronese. De plus, en utilisant une version invariante de jauge du modèle en termes de projecteurs orthogonaux, nous obtenons des solutions non-holomorphes et étudions la géométrie des surfaces associées à ces nouvelles solutions. Ces résultats sont soumis dans la revue Communications in Mathematical Physics.

Énergie des vortex dans un modèle abélien de Higgs en 2+1 dimensions avec un potentiel d’ordre six

Dans ce travail, j’étudierai principalement un modèle abélien de Higgs en 2+1 dimensions, dans lequel un champ scalaire interagit avec un champ de jauge. Des défauts topologiques, nommés vortex, sont créés lorsque le potentiel possède un minimum brisant spontanément la symétrie U(1). En 3+1 dimensions, ces vortex deviennent des défauts à une dimension. Ils ap- paraissent par exemple en matière condensée dans les supraconducteurs de type II comme des lignes de flux magnétique. J’analyserai comment l’énergie des solutions statiques dépend des paramètres du modèle et en particulier du nombre d’enroulement du vortex. Pour le choix habituel de potentiel (un poly- nôme quartique dit « BPS »), la relation entre les masses des deux champs mène à deux types de comportements : type I si la masse du champ de jauge est plus grande que celle du champ sca- laire et type II inversement. Selon le cas, la dépendance de l’énergie au nombre d’enroulement, n, indiquera si les vortex auront tendance à s’attirer ou à se repousser, respectivement. Lorsque le flux emprisonné est grand, les vortex présentent un profil où la paroi est mince, permettant certaines simplifications dans l’analyse. Le potentiel, un polynôme d’ordre six (« non-BPS »), est choisi tel que le centre du vortex se trouve dans le vrai vide (minimum absolu du potentiel) alors qu’à l’infini le champ scalaire se retrouve dans le faux vide (minimum relatif du potentiel). Le taux de désintégration a déjà été estimé par une approximation semi-classique pour montrer l’impact des défauts topologiques sur la stabilité du faux vide. Le projet consiste d’abord à établir l’existence de vortex classi- quement stables de façon numérique. Puis, ma contribution fut une analyse des paramètres du modèle révélant le comportement énergétique de ceux-ci en fonction du nombre d’enroulement. Ce comportement s’avèrera être différent du cas « BPS » : le ratio des masses ne réussit pas à décrire le comportement observé numériquement.