Spin-2 Fields and Helicity

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Gestão da atividade física no SUS: o processo de inserção do Programa de Exercícios Físicos em Unidades de Saúde no município de Rio Claro-SP : um estudo de caso

Pós-graduação em Ciências da Motricidade - IBRC

Special identities for Bol algebras

Bol algebras appear as the tangent algebra of Bol loops. A (left) Bol algebra is a vector space equipped with a binary operation [a, b] and a ternary operation {a, b, c} that satisfy five defining identities. If A is a left or right alternative algebra then A(b) is a Bol algebra, where [a, b] := ab - ba is the commutator and {a, b, c} := < b, c, a > is the Jordan associator. A special identity is an identity satisfied by Ab for all right alternative algebras A, but not satisfied by the free Bol algebra. We show that there are no special identities of degree <= 7, but there are special identities of degree 8. We obtain all the special identities of degree 8 in partition six-two. (C) 2011 Elsevier Inc. All rights reserved.

Wordline approach to higher spin fields

The main object of this thesis is the analysis and the quantization of spinning particle models which employ extended ”one dimensional supergravity” on the worldline, and their relation to the theory of higher spin fields (HS). In the first part of this work we have described the classical theory of massless spinning particles with an SO(N) extended supergravity multiplet on the worldline, in flat and more generally in maximally symmetric backgrounds. These (non)linear sigma models describe, upon quantization, the dynamics of particles with spin N/2. Then we have analyzed carefully the quantization of spinning particles with SO(N) extended supergravity on the worldline, for every N and in every dimension D. The physical sector of the Hilbert space reveals an interesting geometrical structure: the generalized higher spin curvature (HSC). We have shown, in particular, that these models of spinning particles describe a subclass of HS fields whose equations of motions are conformally invariant at the free level; in D = 4 this subclass describes all massless representations of the Poincar´e group. In the third part of this work we have considered the one-loop quantization of SO(N) spinning particle models by studying the corresponding partition function on the circle. After the gauge fixing of the supergravity multiplet, the partition function reduces to an integral over the corresponding moduli space which have been computed by using orthogonal polynomial techniques. Finally we have extend our canonical analysis, described previously for flat space, to maximally symmetric target spaces (i.e. (A)dS background). The quantization of these models produce (A)dS HSC as the physical states of the Hilbert space; we have used an iterative procedure and Pochhammer functions to solve the differential Bianchi identity in maximally symmetric spaces. Motivated by the correspondence between SO(N) spinning particle models and HS gauge theory, and by the notorious difficulty one finds in constructing an interacting theory for fields with spin greater than two, we have used these one dimensional supergravity models to study and extract informations on HS. In the last part of this work we have constructed spinning particle models with sp(2) R symmetry, coupled to Hyper K¨ahler and Quaternionic-K¨ahler (QK) backgrounds.

Pseudodifferential operators on Hilbert space riggings with associated psi *-algebras and generalized Hörmander classes

The present thesis is concerned with certain aspects of differential and pseudodifferential operators on infinite dimensional spaces. We aim to generalize classical operator theoretical concepts of pseudodifferential operators on finite dimensional spaces to the infinite dimensional case. At first we summarize some facts about the canonical Gaussian measures on infinite dimensional Hilbert space riggings. Considering the naturally unitary group actions in $L^2(H_-,gamma)$ given by weighted shifts and multiplication with $e^{iSkp{t}{cdot}_0}$ we obtain an unitary equivalence $F$ between them. In this sense $F$ can be considered as an abstract Fourier transform. We show that $F$ coincides with the Fourier-Wiener transform. Using the Fourier-Wiener transform we define pseudodifferential operators in Weyl- and Kohn-Nirenberg form on our Hilbert space rigging. In the case of this Gaussian measure $gamma$ we discuss several possible Laplacians, at first the Ornstein-Uhlenbeck operator and then pseudo-differential operators with negative definite symbol. In the second case, these operators are generators of $L^2_gamma$-sub-Markovian semi-groups and $L^2_gamma$-Dirichlet-forms. In 1992 Gramsch, Ueberberg and Wagner described a construction of generalized Hörmander classes by commutator methods. Following this concept and the classical finite dimensional description of $Psi_{ro,delta}^0$ ($0leqdeltaleqroleq 1$, $delta< 1$) in the $C^*$-algebra $L(L^2)$ by Beals and Cordes we construct in both cases generalized Hörmander classes, which are $Psi^*$-algebras. These classes act on a scale of Sobolev spaces, generated by our Laplacian. In the case of the Ornstein-Uhlenbeck operator, we prove that a large class of continuous pseudodifferential operators considered by Albeverio and Dalecky in 1998 is contained in our generalized Hörmander class. Furthermore, in the case of a Laplacian with negative definite symbol, we develop a symbolic calculus for our operators. We show some Fredholm-criteria for them and prove that these Fredholm-operators are hypoelliptic. Moreover, in the finite dimensional case, using the Gaussian-measure instead of the Lebesgue-measure the index of these Fredholm operators is still given by Fedosov's formula. Considering an infinite dimensional Heisenberg group rigging we discuss the connection of some representations of the Heisenberg group to pseudo-differential operators on infinite dimensional spaces. We use this connections to calculate the spectrum of pseudodifferential operators and to construct generalized Hörmander classes given by smooth elements which are spectrally invariant in $L^2(H_-,gamma)$. Finally, given a topological space $X$ with Borel measure $mu$, a locally compact group $G$ and a representation $B$ of $G$ in the group of all homeomorphisms of $X$, we construct a Borel measure $mu_s$ on $X$ which is invariant under $B(G)$.

Fundamental Investigations on the Unit Groups of Commutative Group Algebras in Bulgaria

In this paper we give the first investigations and also some basic results on the unit groups of commutative group algebras in Bulgaria. These investigations continue some classical results. Namely, it is supposed that the cardinality of the starting group is arbitrary.

The idempotent-separating degree of a block-group

Semigroup Forum, nº76 (2008), pg.579-583

The representations of adolescents about gynecological consultation

Objective: To analyze the social representation of adolescents about gynecological consultation and the influence of those in searching for consultations. Method: Qualitative descriptive study based on the Social Representations Theory, conducted with 50 adolescents in their last year of middle school. The data was collected between April and May of 2010 by Evocations and a Focal Group. The software EVOC and contextual analysis were used in the data treatment. Results: The elements fear and constraint, constant in the central nucleus, can justify the low frequency of adolescents in consultations. The term embarrassment in the peripheral system reinforce current sociocultural norms, while prevention, associated with learning about sex and clarifying doubts, allows to envision an educative function. Obtained testimonies in the focal groups exemplify and reinforce those findings. Conclusion: For an effective health education, professionals, including nurses, need to clarify the youth individually and collectively about their rights to privacy, secrecy, in addition to focus the gynecological consultation as a promotion measure to sexual and reproductive health.

Integrative taxonomy of the Formica rufa group (Hymenoptera: Formicidae)

RESUME :Les fourmis du groupe Formica rufa, ou fourmis des bois, ainsi appelées en raison de leur préférence pour les écosystèmes forestiers, sont parmi les fourmis les plus fascinantes et les plus étudiées d'Europe. Ces fourmis jouent un rôle clé dans la plupart des forêts dans lesquelles elles vivent et sont considérées comme étant les meilleurs bioindicateurs de ces milieux. Pour ces raisons, les fourmis des bois sont protégées par la loi dans de nombreux pays européens, y compris en Suisse. Cependant, malgré leur protection, ces fourmis sont inscrites sur la liste rouge des espèces menacées dans plusieurs pays d'Europe et il est donc indispensable de bien les connaître afin de mieux les protéger.À l'heure actuelle, on considère que le groupe Formica rufa est composé de six espèces distinctes : F. rufa, F. polyctena, F. lugubris, F. paralugubris, F. aquilonia et F. pratensis. Toutefois, malgré la grande quantité d'études effectuées sur ces espèces, la systématique et l'identification des fourmis des bois sont toujours sujettes à discussion. Ceci est essentiellement dû au fait que ces espèces sont morphologiquement similaires et qu'elles sont parfois capables de s'hybrider ou de former des colonies mixtes.Une des conditions fondamentales pour toute étude en biologie de la conservation est l'identification correcte des espèces à protéger. Avec cette étude, nous désirons donc dénouer les problèmes liés à la systématique des fourmis des bois et analyser la diversité de ces espèces en adoptant une approche multidisciplinaire.Nous avons d'abord étudié la distribution des espèces jumelles F. lugubris et F. paralugubris dans les Álpes italiennes en re-analysant l'une des plus grandes collections de références sur ces espèces, déposée à l'Université de Pavie, Italie, et en récoltant de nouveaux échantillons sur le terrain. Nos analyses ont montré que F, paralugubris, décrite récemment et souvent «oubliée »par les chercheurs, est bien présente dans les Alpes et vit souvent en sympathie avec F. lugubris. Ensuite nous avons développé un outil moléculaire basé sur l'ADN mitochondrial pour une identification rapide et efficace de ces deux espèces. Au vu des bons résultats, nous avons étendu nos analyses génétiques (microsatellites) à toutes les espèces du groupe F. rufa, ce qui nous a permis de montrer que les outils moléculaires sont très efficaces pour identifier ces fourmis. En outre, nos analyses ont mis en évidence la présence d'une nouvelle espèce cryptique (appelée F. lugubris-X) au sein du Parc National Suisse. L'existence d'une nouvelle espèce peut avoir une grande influence sur les projets de conservation en faveur de ces espèces. Nous avons donc décidé de confirmer ce résultat avec des analyses comportementales et des analyses chimiques basées sur les phéromones sexuelles des différentes espèces, y compris F. lugubris-X. Les deux approches confirment nos données génétiques et indiquent que F. lugubris-X représente bel et bien une nouvelle espèce de fourmis des bois dans les Alpes Suisses.Les résultats de cette étude ont une grande importance du point de vue de la biodiversité. En plus, ils livrent aux futurs chercheurs des outils fiables pour l'identification des fourmis des bois et ouvrent de captivantes perspectives pour une meilleure protection de ces insectes et, par conséquent, de nos écosystèmes forestiers. .Abstract :Mound building red wood ants (species of the Formica rufa group) belong to one of the most studied groups of ants in Europe and have fundamental roles and positive effects in forested habitats of the northern hemisphere. In addition, they are considered among the most promising bioindicators of forest ecosystems. Because of their importance, these ants are protected by law in many European countries, including Switzerland. However, despite this protection, they are included on the red list of threatened species edited by the International Union for Conservation of Nature (IUCN) and on the red list of some particular countries like Switzerland. Because of their similar morphology and a high intraspecific variability, the morphological identification of these species can be quite complicated. In addition, they are sometimes able to hybridize or to form mixed colonies. Consequently, the taxonomy of this group of ants has been much debated during the past decades. Based on a phylogenetic study, today the group is considered to count six species in Europe: F. rufa, F. po/yctena, F. lugubris, F. paralugubris, F. aquilonia and F. pratensis. Nevertheless, the taxonomy of the group is often neglected mainly due to the lack of reliable and easy to use identification methods.Considering the importance of correct species assessment in conservation biology, in this study we want to disentangle the taxonomical difficulties within the Formica rufa group and to clarify the diversity of these protected ants, by using an integrative approach.We first analyzed the distribution of .the sibling species F. lugubris and F. paralugubris in the Italian Alps by collecting new samples on the field and by examining one of the major red wood ant collections, which is deposited at the University of Pavia, Italy. After that, we developed a molecular tool based on mitochondria) DNA, which provides a reliable and easy-to-use technique for the identification of F. lugubris and F. paralugubris. Afterwards, we extended the use of molecular markers for species identification to the whole F. rufa group and made a microsatellite analysis. Results confirm that molecular markers are consistent tools for species identification and that the six known species represent six different genetic pools. In addition, genetic data highlighted the existence of a new cryptic species in the Swiss Alps, called Formica lugubris-X.The presence of a new species can have a great influence on future conservation plans in favour of these protected ants and consequently for forested habitats. We therefore completed molecular data by behavioural (pupae recognition) and chemical analyses based on six pheromones of the entire F. rufa group. Both approaches are in accordance to genetic results and confirm that F. lugubris-X really represents a new cryptic species of red wood ant within the Swiss National Park (Eastern Swiss Alps).Results obtained in this study have a great importance in terms of biodiversity. Moreover, they provide important taxonomical information, reliable tools for species identifications and future perspectives for a consequent conservation of red wood ant species.

The new final Clinical Skills examination in human medicine in Switzerland: Essential steps of exam development, implementation and evaluation, and central insights from the perspective of the national Working Group.

OBJECTIVE: Since 2011, the new national final examination in human medicine has been implemented in Switzerland, with a structured clinical-practical part in the OSCE format. From the perspective of the national Working Group, the current article describes the essential steps in the development, implementation and evaluation of the Federal Licensing Examination Clinical Skills (FLE CS) as well as the applied quality assurance measures. Finally, central insights gained from the last years are presented. METHODS: Based on the principles of action research, the FLE CS is in a constant state of further development. On the foundation of systematically documented experiences from previous years, in the Working Group, unresolved questions are discussed and resulting solution approaches are substantiated (planning), implemented in the examination (implementation) and subsequently evaluated (reflection). The presented results are the product of this iterative procedure. RESULTS: The FLE CS is created by experts from all faculties and subject areas in a multistage process. The examination is administered in German and French on a decentralised basis and consists of twelve interdisciplinary stations per candidate. As important quality assurance measures, the national Review Board (content validation) and the meetings of the standardised patient trainers (standardisation) have proven worthwhile. The statistical analyses show good measurement reliability and support the construct validity of the examination. Among the central insights of the past years, it has been established that the consistent implementation of the principles of action research contributes to the successful further development of the examination. CONCLUSION: The centrally coordinated, collaborative-iterative process, incorporating experts from all faculties, makes a fundamental contribution to the quality of the FLE CS. The processes and insights presented here can be useful for others planning a similar undertaking.

Language of the Future, Language of the PRC –Representations of Putonghua in South China Morning Post

As the national language of the PRC, the world's growing economic power and the sovereign of Hong Kong, Putonghua is a language with multiple facets of relevance for the current Special Administrative Region. This paper seeks to explore and explain different representations of Putonghua in Hong Kong's leading English-language newspaper South China Morning Post in articles published between January 2012 and February 2013. The representations are studied in the context of the different discourses in which they appear, some of which feature language(s) as a central theme and some more marginally. An overview is first presented of the scholarly research on the most important developments in Hong Kong's complex language scene from the beginnings of the colony until present day, with the aim of detecting developments and attitudes with potential relevance or parallels to the context of Putonghua today. The paper then reflects on the media and its role in producing and perpetuating discourses in the society, before turning to more practical considerations on Hong Kong's English and Chinese language media and the role of South China Morning Post in it. The methods used in analysing the discourses are those of discourse analysis, with textual analysis as its starting point, in which close attention is paid to linguistic forms as the concrete representations of meanings in a text. Particularly the immediate contexts of the appearances of the word “Putonghua” in the articles were studied carefully to detect vocabulary, grammar and semantical choices as signs of different discourses, potentially also revealing fundamental underlying assumptions and other “hidden meanings” in the text. Some of the most distinctive discourses in which different representations of Putonghua appeared were the Instrumental value for the individual (in which Putonghua was represented as a form of social capital); Othering of the mainlanders (in which Putonghua served as a concrete marker of distinction); Belonging to China (Putonghua as a symbol of unity); and Cultural distinctiveness of Hong Kong (Putonghua as a threat to Hong Kong's history and culture, as embodied in Cantonese). Some of these discourses were more prominent than others, and for example the discourse of Belonging to China was relatively rarely enacted in Hongkongers' voices. In general, the findings were not surprising in the light of the history, but showed a fair degree of consistency with what has been written earlier about the languages and attitudes towards them in Hong Kong. It has often been noted that Putonghua and its relation with Cantonese is a matter linked with the social identity of the colony and its citizens. While it appeared that there were no strict taboos in the representations of Putonghua in the societal context, the possibility of self-censorship cannot be ruled out as a factor toning down political discourses in the representations.

On the (un)-ambiguity of adjectival modification in Spanish determiner phrases: informing debates on the mental representations of L2 syntax.

This study contributes to a central debate within contemporary generative second language (L2) theorizing: the extent to which adult learners are (un)able to acquire new functional features that result in a L2 grammar that is mentally structured like the native target (see White, 2003). The adult acquisition of L2 nominal phi-features is explored, with focus on the syntactic and semantic reflexes in the related domain of adjective placement in two experimental groups: English-speaking intermediate (n = 21) and advanced (n = 24) learners of Spanish, as compared to a native-speaker control group (n = 15). Results show that, on some of the tasks, the intermediate L2 learners appear to have acquired the syntactic properties of the Spanish determiner phrase but, on other tasks, to show some delay with the semantic reflexes of prenominal and postnominal adjectives. Crucially, however, our data demonstrate full convergence by all advanced learners and thus provide evidence in contra the predictions of representational deficit accounts (e.g., Hawkins & Chan, 1997; Hawkins & Franceschina, 2004; Hawkins & Hattori, 2006).

Cytogenetic characterisation of the ornamental freshwater fish, Piabucus melanostomus (Iguanodectinae) from Brazilian wetlands and its relation with species of Characidae basal group

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Gravitation and the local symmetry group of space-time

According to general relativity, the interaction of a matter field with gravitation requires the simultaneous introduction of a tetrad field, which is a field related to translations, and a spin connection, which is a field assuming values in the Lie algebra of the Lorentz group. These two fields, however, are not independent. By analyzing the constraint between them, it is concluded that the relevant local symmetry group behind general relativity is provided by the Lorentz group. Furthermore, it is shown that the minimal coupling prescription obtained from the Lorentz covariant derivative coincides exactly with the usual coupling prescription of general relativity. Instead of the tetrad, therefore, the spin connection is to be considered as the fundamental field representing gravitation.

The Mother-Daughter Relationship in Eating Disorders: The Psychotherapy group of mothers

Psychotherapeutic interventions that bring about differentiation, separation, individuation and autonomy in the mother-daughter relationship are recommended as treatment for eating disorders. With this goal in mind, a psychotherapy group for mothers was organized in an outpatient program for adolescents with eating disorders at a public institution, as one of the psychotherapeutic approaches in the multidisciplinary treatment of adolescent patients. Evidence suggests that this approach can be relevant and effective in the treatment of eating disorders.