Now showing items 1-9 of 9

    • Canonical Structure and Conservation Laws of General Relativity on Null Surfaces and at Null Infinity 

      Hopfmueller, Florian (University of Waterloo, 2021-01-12)
      The first part of this thesis addresses the canonical structure of general relativity on generic null surfaces. The pre-symplectic potential of metric general relativity, evaluated on a null surface, is decomposed into ...
    • Circuit Complexity of Mixed States 

      Ruan, Shan-Ming (University of Waterloo, 2021-07-20)
      Quantum information has produced fresh insights into foundational questions about the AdS/CFT correspondence. One fascinating concept, which has captured increasing attention, is quantum circuit complexity. As a natural ...
    • 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 ...
    • Complexity in the AdS/CFT correspondence 

      Marrochio, Hugo (University of Waterloo, 2019-08-14)
      The main goal of this thesis is to carefully analyze aspects of the gravitational quantities conjectured to be dual to quantum complexity in the AdS/CFT correspondence. The two most promising candidates for such holographic ...
    • Constructing Exact Correlators In N=4 SYM Using Integrability 

      Coronado, Frank (University of Waterloo, 2019-08-09)
      This thesis is devoted to the study of correlation functions in N = 4 superconformal Yang- Mills theory. We focus on a class of four point functions for which we achieve formal results at finite coupling and explicit ...
    • Extended thermodynamics of Taub-NUT and Einstein-scalar spacetimes 

      Ballon Bordo, Alvaro (University of Waterloo, 2021-08-12)
      The main objective of this thesis is to summarize recent developments on the thermodynamics of both AdS Einstein-scalar spacetimes and Lorentzian Taub-NUT spacetimes. We summarize and apply well-known techniques in black ...
    • Horizon Thermodynamics from Einstein's Equation of State 

      Hansen, Devin (University of Waterloo, 2017-04-28)
      The striking resemblance between geometric theories of gravity and thermodynamics suggests a more fundamental relationship between the two seemingly distinct theories. It has been postulated that the radial Einstein ...
    • Non-perturbative approaches to Scattering Amplitudes 

      Gomez Cordova, Lucia (University of Waterloo, 2019-09-26)
      This thesis is devoted to the study of scattering amplitudes using two non-perturbative approaches. In Part I we focus on a particular theory known as N = 4 Super-Yang-Mills in four spacetime dimensions. The scattering ...
    • Quantum critical responses via holographic models and conformal perturbation theory 

      Sierens, Todd (University of Waterloo, 2017-06-15)
      We investigate response functions near quantum critical points, allowing for finite temperature and a mild deformation by a relevant scalar. When the quantum critical point is described by a conformal field theory, we use ...

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