Search for dissertations about: "Lie conformal algebras"

Found 2 swedish dissertations containing the words Lie conformal algebras.

  1. 1. Abelian Extensions, Fractional Loop Group and Quantum Fields

    University dissertation from Stockholm : KTH

    Author : Pedram Hekmati; KTH.; [2010]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Lie group extensions; Lie conformal algebras; gerbes; twisted K-theory; renormalization; anomalies; D-brane charges; variational complex; NATURAL SCIENCES Physics Other physics Mathematical physics; NATURVETENSKAP Fysik Övrig fysik 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

  2. 2. Going Round in Circles From Sigma Models to Vertex Algebras and Back

    University dissertation from Uppsala : Acta Universitatis Upsaliensis

    Author : Joel Ekstrand; Uppsala universitet.; [2011]
    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