par Aggarwal, Ankit 
Président du jury Van Linden van den Heuvell, Ben H.B.
Promoteur Detournay, Stéphane;Castro, Alejandra
Publication Non publié, 2023-09-07
Président du jury Van Linden van den Heuvell, Ben H.B.
Promoteur Detournay, Stéphane
;Castro, AlejandraPublication Non publié, 2023-09-07
Thèse de doctorat
| Résumé : | Quantum gravity seeks to reconcile quantum mechanics and general relativity, the two pillars of modern physics, into a single consistent framework. One of the biggest achievements of quantum gravity is the discovery of the holographic principle (or holography). Holography suggests that the gravitational degrees of freedom in a region of space can be described by a quantum field theory on the boundary of that region. This thesis aims to study holography in the context of a three-dimensional gravity model, namely, topologically massive gravity (TMG) with a negative cosmological constant. It is a model of gravity with a topological term— gravitational Chern-Simons term—added to Einstein-Hilbert action. This term allows for the presence of a massive graviton in the theory.In this thesis, we develop holographic dictionary between warped black holes (WBHs) and warped conformal field theories (WCFTs). WBHs are three-dimensional rotating black holes that appear as solutions of TMG. WCFTs are two-dimensional non-relativistic field theories that share many similarities with two-dimensional CFTs. In addition to conventional holography, we develop WBH/WCFT correspondence in the near-extremal regime. This allows us to make contact with the holography for generic near-extremal black holes. Near-extremal black holes are black holes which have a very small Hawking temperature. We define and study their holographic counterparts—near-extremal WCFTs. We find strong support for WBH/WCFT correspondence. A central result of the thesis is: only non-unitary WCFTs can admit non-trivial holographic duals and are thus, the only ones interesting in a holographic context. |
