Now showing items 1-8 of 8

    • Classifications of Quantum Field Theories 

      Bhardwaj, Lakshya (University of Waterloo, 2018-07-04)
      We discuss classifications of UV complete supersymmetric theories in six dimensions, and (spin-)topological field theories admitting a finite global symmetry and possibly time-reversal symmetry in three dimensions. We also ...
    • Defects and Boundaries in Quantum Field Theories 

      Wu, Jingxiang (University of Waterloo, 2021-07-29)
      We discuss some aspects of defects and boundaries in quantum field theories (QFTs) and their applications in revealing non-perturbative aspects of QFTs in combination with other techniques, including integrability. ...
    • Exact Results in Supersymmetric Gauge Theory 

      Lamy-Poirier, Joel (University of Waterloo, 2016-08-30)
      Exact results are a key component for understanding any physical theory. Unfortunately in the context of quantum field theory (QFT) they are in general impossible to obtain, and we need some sort of approximations. However ...
    • Explorations in the Conformal Bootstrap 

      Mazac, Dalimil (University of Waterloo, 2017-07-19)
      We investigate properties of various conformally invariant quantum systems, especially from the point of view of the conformal bootstrap. First, we study twist line defects in three-dimensional conformal field theories. ...
    • (Non)-Invertible Topology in Quantum Field Theory 

      Yu, Matthew (University of Waterloo, 2023-06-05)
      This thesis aims to highlight aspects of mathematics and physics that arise in topological field theories. We will consider invertible and noninvertible topological theories. In the former case, we compute the classification ...
    • Some Applications of Hyperbolic Geometry in String Perturbation Theory 

      Moosavian, Seyed Faroogh (University of Waterloo, 2019-08-19)
      In this thesis, we explore some applications of recent developments in the hyperbolic geometry of Riemann surfaces and moduli spaces thereof in string theory. First we show how a proper decomposition of the moduli space ...
    • Topological Manipulations of Quantum Field Theories 

      Kulp, Justin (University of Waterloo, 2023-07-17)
      In this thesis we study some topological aspects of Quantum Field Theories (QFTs). In particular, we study the way in which an arbitrary QFT can be separated into “local” and “global” data by means of a “symmetry Topological ...
    • The Vertex Algebra Vertex 

      Rapcak, Miroslav (University of Waterloo, 2019-07-19)
      This thesis reviews some aspects of a large class of vertex operator algebras labelled by $(p,q)$ webs colored by non-negative integers associated to faces of the web diagrams [1,2,3,4]. Such vertex operator algebras ...

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