Search for dissertations about: "Chiral algebras"

Found 4 swedish dissertations containing the words Chiral algebras.

2. 1. Twisting and Gluing : On Topological Field Theories, Sigma Models and Vertex Algebras

   Author : Johan Källén; Maxim Zabzine; Mathias Blau; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Topological field theory; Chern-Simons theory; Contact geometry; Sigma models; Poisson vertex algebras; Vertex algebras; String theory; Theoretical Physics; Teoretisk fysik;

   Abstract : This thesis consists of two parts, which can be read separately. In the first part we study aspects of topological field theories. We show how to topologically twist three-dimensional N=2 supersymmetric Chern-Simons theory using a contact structure on the underlying manifold. READ MORE

4. 2. Results in Localization for Supersymmetric Gauge Theories

   Author : Anastasios Gorantis; Joseph A. Minahan; Kimyeong Lee; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Supersymmetric localization; Matrix models; Supersymmetric field theories; Cohomological field theories; Chiral algebras; Theoretical Physics; Teoretisk fysik;

   Abstract : The strong coupling dynamics of Quantum Field Theories with gauge symmetries constitutes a profound problem in Theoretical Physics. Supersymmetric theories offer rare instances where this elusive problem is tractable and can be a valuable source of information and intuition. READ MORE

5. 3. Going Round in Circles : From Sigma Models to Vertex Algebras and Back

   Author : Joel Ekstrand; Maxim Zabzine; Anton Alekseev; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Chiral de Rham complex; Conformal field theory; Poisson vertex algebra; Sigma model; String theory; Vertex algebra; Theoretical Physics; Teoretisk fysik;

   Abstract : In this thesis, we investigate sigma models and algebraic structures emerging from a Hamiltonian description of their dynamics, both in a classical and in a quantum setup. More specifically, we derive the phase space structures together with the Hamiltonians for the bosonic two-dimensional non-linear sigma model, and also for the N=1 and N=2 supersymmetric models. READ MORE

6. 4. Hopf and Frobenius algebras in conformal field theory

   Author : Carl Stigner; Jürgen Fuchs; Jens Fjelstad; Ingo Runkel; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; conformal field theory; category theory; Hopf algebra; Frobenius algebra; coends; mapping class group; defect lines; factorization constraints; Physics; Fysik;

   Abstract : There are several reasons to be interested in conformal field theories in two dimensions. Apart from arising in various physical applications, ranging from statistical mechanics to string theory, conformal field theory is a class of quantum field theories that is interesting on its own. First of all there is a large amount of symmetries. READ MORE