Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 12 of 12 for “"self-duality"”.
-
Reflexive Modules, Self-Duality, and Prime Bourbaki Ideals
Made available in DSpace on 2014-12-14T13:09:42Z (GMT). No. of bitstreams: 1 8004229.pdf: 1530850 bytes, checksum: 96b31d5d2b2a451a9f1b863389b89bf8 (MD5) Previous issue date: 1979
-
Searching for self-duality in non-maximally supersymmetric backgrounds
Fermionic T-duality is the generalisation to superspace of bosonic T-duality (i.e. to include fermionic degrees of freedom). Originally, T-duality described the equivalence relation between two physical theories, each living on a different background. However, this thesis is concerned with …
-
Self-duality for SU([infinity]) gauge theories and extended objects
… main theme of this thesis is the formulation of self-duality for extended objects (p-branes). An approach to self-duality for membranes is developed using the correspondence between the large N limit of SU(N) gauge theories and the membrane theory. This correspondence is established via the use …
-
Infinite Sets of Conserved Charges and Duality in Quantum Field Theory
… matrix. In Chapter IV I discuss the meaning of self-duality as it applies to quantum Hamiltonians, and develop a general form for a self-dual Hamiltonian. In Chapter V I show how one can find the explicit form for conserved charges in the XY model by a heuristic technique which takes advantage …
-
Anti-self-dual fields and manifolds
In this thesis we study anti–self–duality equations in four and eight dimensions on manifolds of special Riemannian holonomy, among these hyper–Kähler, Quaternion–Kähler and Spin(7)–manifolds. We first consider the octonionic anti–self–duality equations on manifolds with holonomy Spin(7). We …
-
Langlands Duality in the Generic Fibres of Classical Hitchin Fibrations
… abelian varieties, and we demonstrate Langlands duality in the Hitchin bration by proving the generic bres corresponding to Langland's dual groups are indeed dual abelian varieties. The thesis consists of two parts. In Part I, we review the necessary background of complex algebraic geometry. …
-
Topics in Gauge/Gravity Duality
… some aspects of holographic particle-vortex duality, in particular its realisation in the ABJM model and a possible relation to Maxwell duality in AdS4. We formulate a symmetric version of the transformation that acts as a self-duality, show how to embed it as an abelian duality in the …
-
Tensor Products and Factorizations of Operator Systems
… algebras. Motivated by the significant role of self-duality in factorization, we progress to operator systems that are self-dual as matrix-ordered spaces, or in finite-dimensional case, as operator systems. We construct the self-dual operator Hilbert system SOH based on Pisier’s operator Hilbert …
-
Topics in double field theory
… is motivated from this idea and it implements T-duality manifestly by doubling the coordinates. In this thesis we will mainly focus on the double field theory formulation of different string theories in its low energy limit: bosonic, heterotic, type II and its massive extensions, and M = 1 …
-
Mathematical Aspects of Field Theory: Nahm's Equations and Jacobi Forms
This thesis consists of two projects wherein we explore some mathematical aspects of field theory. In the first project, we address Nahm's equations, which is an integrable system with a Lax pair. We consider boundary conditions on Nahm's equations that correspond to the Dirac multimonopole in …
-
Vortices, Painlevé integrability and projective geometry
… are actually symmetry reductions of (anti-)self-dual Yang-Mills equations with suitable gauge groups and symmetry groups acting as isometries in a 4-manifold. As a consequence, the twistor integrability results of such vortices can be derived. It is presented a natural definition of their …