Sökning: "Poisson vertex algebra"
Hittade 3 avhandlingar innehållade orden Poisson vertex algebra.
1. Going Round in Circles : From Sigma Models to Vertex Algebras and Back
Sammanfattning : 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. LÄS MER
2. Twisting and Gluing : On Topological Field Theories, Sigma Models and Vertex Algebras
Sammanfattning : 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. LÄS MER
3. Abelian Extensions, Fractional Loop Group and Quantum Fields
Sammanfattning : 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. LÄS MER