Gauge gravity dualities from group representation theory
| dc.contributor.author | Gandote, Sonagnon Eunice Edwige | |
| dc.date.accessioned | 2023-11-23T07:17:44Z | |
| dc.date.available | 2023-11-23T07:17:44Z | |
| dc.date.issued | 2022 | |
| dc.description | A thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy to the Faculty of Science, University of the Witwatersrand, 2022 | |
| dc.description.abstract | This thesis considers two distinct problems. First we discuss scrambling and equilibration in N = 4 super Yang-Mills theory using operators that have a very large dimension, of order N2 . A basis for these operators, is provided by the so-called Gauss graph operators. The operators are labelled by a pair of Young diagrams and a graph. We characterize the typical graph and the dynamics associated to it. We show that the resulting dynamics is that of a fast scrambler. Our system equilibrates in a time scale given by t ∼ p λ where p is an order N number equal to the number of nodes in the graph and λ is the ’t Hooft coupling. Finally we use bilocal holography to explore the duality between the free O(N) vector model and higher spin gravity. We demonstrate a mapping between the CFT and the higher spin gravity that is determined by the symmetry of the problem. We then turn to a study of the geometry of this mapping. Using a specific code subspace, we demonstrate that bilocal holography reproduces the entanglement wedge reconstruction. We also make contact with ideas that have been influential in the holographic computation of entanglement entropy. | |
| dc.description.librarian | PC(2023) | |
| dc.description.sponsorship | National Research Funding | |
| dc.faculty | Faculty of Science | |
| dc.identifier.uri | https://hdl.handle.net/10539/37127 | |
| dc.language.iso | en | |
| dc.phd.title | PhD | |
| dc.school | Physics | |
| dc.subject | Gauge Gravity Dualities | |
| dc.subject | Group Representation Theory | |
| dc.subject | scrambling and equilibration | |
| dc.title | Gauge gravity dualities from group representation theory | |
| dc.type | Thesis |