Search for dissertations about: "Poisson vertex algebra"

Found 3 swedish dissertations containing the words Poisson vertex algebra.

  2. 1. 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

  4. 2. 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

  5. 3. Abelian Extensions, Fractional Loop Group and Quantum Fields

    Author : Pedram Hekmati; Jouko Mickelsson; Christoph Schweigert; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Lie group extensions; Lie conformal algebras; gerbes; twisted K-theory; renormalization; anomalies; D-brane charges; variational complex; Mathematical physics; Matematisk fysik;

    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