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Quantum Gravity: From Black Holes to Matrix Models
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- Author / Creator
- Osuga, Kento
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In this thesis we aim to reveal characteristics of quantum gravity mainly from two different perspectives. In the first part we focus on quantum aspects of black holes, in particu- lar, the firewall paradox and nonlocality of quantum gravity. We present an explicit toy qubit transport model for unitary black hole evolution such that the gravitational field is described by nonlocal qubits with the assumption that the radiation still interacts locally with these nonlocal qubits. The model does not have firewalls at the event horizon, yet captures qualitatively what is expected, and it avoids a counterargument raised for subsys- tem transport models. Furthermore, it fits the set of six physical constraints that Giddings has proposed for unitary models of black hole evaporation. From a different point of view towards quantum gravity, in the second part of the thesis, we next consider supereigenvalue models in the Neveu-Schwarz sector and their recursive structure. We present a formalism that recursively computes all correlation functions of supereigenvalue models by using the Eynard-Orantin topological recursion in conjunction with simple auxiliary Grassmann-valued polynomial equations. Finally, we propose a more general supersymmetric recursive formal- ism, what we shall call super Airy structures, and discuss a few examples that we expect to have interesting applications to enumerative geometry.
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- Subjects / Keywords
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- Graduation date
- Spring 2019
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- Type of Item
- Thesis
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- Degree
- Doctor of Philosophy
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- License
- Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.