Sökning: "Vertex algebra"

Visar resultat 1 - 5 av 8 avhandlingar innehållade orden Vertex algebra.

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

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

   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

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

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

   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

4. 3. Dualities, affine vertex operator algebras, and geometry of complex polynomials

   Författare :Julius Borcea; Matematik (naturvetenskapliga fakulteten); []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Sendov s conjecture; annihilating fields; relative vertex operators; twisted modules; vertex operator algebras; Affine Lie algebras; standard modules; geometry of polynomials.; Mathematics; Matematik;

   Sammanfattning : This thesis consists of two parts which deal with different subjects. In the first part we study certain aspects of the representation theory of affine Kac-Moody Lie algebras and related structures. LÄS MER

5. 4. On Vertex Operator Algebras of Affine Type at Admissible Levels

   Författare :Thomas Edlund; Matematik (naturvetenskapliga fakulteten); []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Vertex operator algebras; Kac-Moody algebras; Ore localization; Admissible levels; Singular vectors; Intertwining operators;

   Sammanfattning : The main purpose of this thesis is the study of the structure and representation theory of simple vertex operator algebras (VOAs) of affine type at admissible levels. To do this, it is crucial to obtain knowledge of the singular vectors which generate the maximal submodules, with respect to which these VOAs appear as irreducible quotients, and therefore a substantial part of the text is devoted to this matter. LÄS MER

7. 5. A classifying algebra for CFT boundary conditions

   Författare :Carl Stigner; Jürgen Fuchs; Alexei Semikhatov; Karlstads universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Boundary conditions; Conformal field theory; Factorization constraints; Modular tensor categories; TFT-construction; Mathematical physics; Matematisk fysik; Physics; Fysik;

   Sammanfattning : Conformal field theories (CFT) constitute an interesting class of twodimensionalquantum field theories, with applications in string theoryas well as condensed matter physics. The symmetries of a CFT can beencoded in the mathematical structure of a conformal vertex algebra. LÄS MER