Search for dissertations about: "poisson vertex algebras"
Found 3 swedish dissertations containing the words poisson vertex algebras.
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1. Twisting and Gluing : On Topological Field Theories, Sigma Models and Vertex Algebras
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
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2. Going Round in Circles : From Sigma Models to Vertex Algebras and Back
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
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3. Abelian Extensions, Fractional Loop Group and Quantum Fields
Abstract : This thesis deals with the theory of Lie group extensions, Lie conformal algebras and twisted K-theory, in the context of quantum physics. These structures allow for a mathematically precise description of certain aspects of interacting quantum field theories. READ MORE