Studies on Wilson loops, correlators and localization in supersymmetric quantum field theories

In this thesis we study at perturbative level correlation functions of Wilson loops (and local operators) and their relations to localization, integrability and other quantities of interest as the cusp anomalous dimension and the Bremsstrahlung function. First of all we consider a general class of 1/8 BPS Wilson loops and chiral primaries in N=4 Super Yang-Mills theory. We perform explicit two-loop computations, for some particular but still rather general configuration, that confirm the elegant results expected from localization procedure. We find notably full consistency with the multi-matrix model averages, obtained from 2D Yang-Mills theory on the sphere, when interacting diagrams do not cancel and contribute non-trivially to the final answer. We also discuss the near BPS expansion of the generalized cusp anomalous dimension with L units of R-charge. Integrability provides an exact solution, obtained by solving a general TBA equation in the appropriate limit: we propose here an alternative method based on supersymmetric localization. The basic idea is to relate the computation to the vacuum expectation value of certain 1/8 BPS Wilson loops with local operator insertions along the contour. Also these observables localize on a two-dimensional gauge theory on S^2, opening the possibility of exact calculations. As a test of our proposal, we reproduce the leading Luscher correction at weak coupling to the generalized cusp anomalous dimension. This result is also checked against a genuine Feynman diagram approach in N=4 super Yang-Mills theory. Finally we study the cusp anomalous dimension in N=6 ABJ(M) theory, identifying a scaling limit in which the ladder diagrams dominate. The resummation is encoded into a Bethe-Salpeter equation that is mapped to a Schroedinger problem, exactly solvable due to the surprising supersymmetry of the effective Hamiltonian. In the ABJ case the solution implies the diagonalization of the U(N) and U(M) building blocks, suggesting the existence of two independent cusp anomalous dimensions and an unexpected exponentation structure for the related Wilson loops.

Role of organizational identification, on Implicit Leadership Theories ILTs, transformational leadership and work attitudes

This investigation explores the effects of organizational identification on employees’ Implicit Leadership Theories (ILTs) and the perception of leader behaviors. The study involved a cross-sectional survey of 439 employees from seven companies based in South Wales. Respondents completed two questionnaires that measured their organizational identification, ILTs, recognition of ILTs in their manager, manager’s leadership behaviors (transactional and transformational), and psychological reactions (job satisfaction, well-being, and turnover intentions). The level of organizational identification did not affect the prototype of an ideal work-based leader. However, high organizational identification was associated with more positive ratings on the actual manager, the extent to which their manager displayed transactional and transformational behaviors, and with more positive psychological reactions to work. Employees high in organizational identification based their judgments of their leader’s transactional and transformational behaviors on the extent to which they recognized their leader as possessing leadership traits. However, those low on organizational identification allowed their prototype of their ideal leader to bias their judgment of their actual leader’s behavior. Finally, there was partial support for the augmenting hypothesis (that tranformational leadership would predict additional variance in psychological outcomes above that predicted by transactional leadership) for those high in organizational identification but not for those low in organizational identification.

Implicit leadership theories in applied settings:factor structure, generalizability, and stability over time

The present empirical investigation had a 3-fold purpose: (a) to cross-validate L. R. Offermann, J. K. Kennedy, and P. W. Wirtz's (1994) scale of Implicit Leadership Theories (ILTs) in several organizational settings and to further provide a shorter scale of ILTs in organizations; (b) to assess the generalizability of ILTs across different employee groups, and (c) to evaluate ILTs' change over time. Two independent samples were used for the scale validation (N 1 = 500 and N 2 = 439). A 6-factor structure (Sensitivity, Intelligence, Dedication, Dynamism, Tyranny, and Masculinity) was found to most accurately represent ILTs in organizational settings. Regarding the generalizability of ILTs, although the 6-factor structure was consistent across different employee groups, there was only partial support for total factorial invariance. Finally, evaluation of gamma, beta, and alpha change provided support for ILTs' stability over time.

Applications of differential geometry to high spin field theories

The main aim of this thesis is to investigate the application of methods of differential geometry to the constraint analysis of relativistic high spin field theories. As a starting point the coordinate dependent descriptions of the Lagrangian and Dirac-Bergmann constraint algorithms are reviewed for general second order systems. These two algorithms are then respectively employed to analyse the constraint structure of the massive spin-1 Proca field from the Lagrangian and Hamiltonian viewpoints. As an example of a coupled field theoretic system the constraint analysis of the massive Rarita-Schwinger spin-3/2 field coupled to an external electromagnetic field is then reviewed in terms of the coordinate dependent Dirac-Bergmann algorithm for first order systems. The standard Velo-Zwanziger and Johnson-Sudarshan inconsistencies that this coupled system seemingly suffers from are then discussed in light of this full constraint analysis and it is found that both these pathologies degenerate to a field-induced loss of degrees of freedom. A description of the geometrical version of the Dirac-Bergmann algorithm developed by Gotay, Nester and Hinds begins the geometrical examination of high spin field theories. This geometric constraint algorithm is then applied to the free Proca field and to two Proca field couplings; the first of which is the minimal coupling to an external electromagnetic field whilst the second is the coupling to an external symmetric tensor field. The onset of acausality in this latter coupled case is then considered in relation to the geometric constraint algorithm.

Exits, entrances and entrepreneurship : an exploration of economic theories of entrepreneurship through new independent entry and infant exit

The thesis began as a study of new firm formation. Preliminary research suggested that infant death rate was considered to be a closely related problem and the search was for a theory of new firm formation which would explain both. The thesis finds theories of exit and entry inadequate in this respect and focusses instead on theories of entrepreneurship, particularly those which concentrate on entrepreneurship as an agent of change. The role of information is found to be fundamental to economic change and an understanding of information generation and dissemination and the nature and direction of information flows is postulated to lead coterminously to an understanding of entrepreneurhsip and economic change. The economics of information is applied to theories of entrepreneurhsip and some testable hypotheses are derived. The testing relies on etablishing and measuring the information bases of the founders of new firms and then testing for certain hypothesised differences between the information bases of survivors and non-survivors. No theory of entrepreneurship is likely to be straightforwardly testable and many postulates have to be established to bring the theory to a testable stage. A questionnaire is used to gather information from a sample of firms taken from a new micro-data set established as part of the work of the thesis. Discriminant Analysis establishes the variables which best distinguish between survivors and non-survivors. The variables which emerge as important discriminators are consistent with the theory which the analysis is testing. While there are alternative interpretations of the important variables, collective consistency with the theory under test is established. The thesis concludes with an examination of the implications of the theory for policy towards stimulating new firm formation.

A critical evaluation of theories of nationalism

This thesis considers the main theoretical positions within the contemporary sociology of nationalism. These can be grouped into two basic types, primordialist theories which assert that nationalism is an inevitable aspect of all human societies, and modernist theories which assert that nationalism and the nation-state first developed within western Europe in recent centuries. With respect to primordialist approaches to nationalism, it is argued that the main common explanation offered is human biological propensity. Consideration is concentrated on the most recent and plausible of such theories, sociobiology. Sociobiological accounts root nationalism and racism in genetic programming which favours close kin, or rather to the redirection of this programming in complex societies, where the social group is not a kin group. It is argued that the stated assumptions of the sociobiologists do not entail the conclusions they draw as to the roots of nationalism, and that in order to arrive at such conclusions further and implausible assumptions have to be made. With respect to modernists, the first group of writers who are considered are those, represented by Carlton Hayes, Hans Kohn and Elie Kedourie, whose main thesis is that the nation-state and nationalism are recent phenomena. Next, the two major attempts to relate nationalism and the nation-state to imperatives specific either to capitalist societies (in the `orthodox' marxist theory elaborated about the turn of the twentieth century) or to the processes of modernisation and industrialisation (the `Weberian' account of Ernest Gellner) are discussed. It is argued that modernist accounts can only be sustained by starting from a definition of nationalism and the nation-state which conflates such phenomena with others which are specific to the modern world. The marxist and Gellner accounts form the necessary starting point for any explanation as to why the nation-state is apparently the sole viable form of polity in the modern world, but their assumption that no pre-modern society was national leaves them without an adequate account of the earliest origins of the nation-state and of nationalism. Finally, a case study from the history of England argues both the achievement of a national state form and the elucidation of crucial components of a nationalist ideology were attained at a period not consistent with any of the versions of the modernist thesis.