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  1. 1. 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

  2. 2. BRST and Topological Gauge Theories

    Författare :Niclas Sandström; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; gauge theory; BRST-quantization; topological field theory; BV-quantization; almost product structure APS ; superfield formulation;

    Sammanfattning : In this thesis, the BRST-quantization of gauge theories is discussed. A detailed analysis of the BRST-quantization on inner product spaces is performed for a class of abelian models, including reparametrization invariant ones. General rules how to obtain physical wave functions and propagators are proposed. LÄS MER

  3. 3. Hopf and Frobenius algebras in conformal field theory

    Författare :Carl Stigner; Jürgen Fuchs; Jens Fjelstad; Ingo Runkel; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; conformal field theory; category theory; Hopf algebra; Frobenius algebra; coends; mapping class group; defect lines; factorization constraints; Physics; Fysik;

    Sammanfattning : There are several reasons to be interested in conformal field theories in two dimensions. Apart from arising in various physical applications, ranging from statistical mechanics to string theory, conformal field theory is a class of quantum field theories that is interesting on its own. First of all there is a large amount of symmetries. LÄS MER

  4. 4. Twisting and Turning in Six Dimensions

    Författare :Hampus Linander; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 0 theory; 2; Yang-Mills theory; Topological twisting; Circle fibrations; Compactification; Supersymmetry; Topological field theory;

    Sammanfattning : This thesis investigates certain aspects of a six-dimensional quantum theoryknown as (2,0) theory. This theory is maximally supersymmetric and conformal,making it the most symmetric higher dimensional quantum theory known. It hasresisted an explicit construction as a quantum field theory yet its existence can beinferred from string theory. LÄS MER

  5. 5. Topics in Five Dimensional Supersymmetry and Topological Quantum Field Theories

    Författare :Luigi Tizzano; Maxim Zabzine; Anton Kapustin; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Supersymmetric Quantum Field Theories; Topological Quantum Field Theories; String Theory.;

    Sammanfattning : We explore five-dimensional supersymmetric quantum field theories and topological quantum field theories. In five dimensions, we describe a framework to consistently define a supersymmetric theory on a curved spacetime manifold. LÄS MER