Browsing Physics and Astronomy by Supervisor "Myers, Robert"
Now showing items 1-10 of 10
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Canonical Structure and Conservation Laws of General Relativity on Null Surfaces and at Null Infinity
(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
(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
(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
(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
(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 ... -
Edge Modes and Carrollian Hydrodynamics on Stretched Horizons
(University of Waterloo, 2022-09-27)The first part of this thesis is aimed at investigating the crucial role played by emergent boundary degrees of freedom, called edge modes, in gauge theories defined in spacetimes with boundaries. We propose a simple and ... -
Extended thermodynamics of Taub-NUT and Einstein-scalar spacetimes
(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
(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
(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
(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 ...