Pseudospectra of Quasinormal Modes and Holography
Abstract
The holographic duality (also known as AdS/CFT correspondence or gauge/gravity duality) postulates that strongly coupled quantum field theories can be described in a dual way in asymptotically Anti-de Sitter space. One of the cornerstones of this duality is the description of thermal states as black holes with asymptotically Anti-de Sitter boundary conditions. This idea has led to valuable insights into such fields as transport theory and relativistic hydrodynamics. In this context, the quasinormal modes of such black holes play a decisive role and therefore their stability properties are of upmost interest for the holographic duality. We review recent results using the method of pseudospectra.
Cite
@article{arxiv.2407.04372,
title = {Pseudospectra of Quasinormal Modes and Holography},
author = {Daniel Arean and David Garcia-Fariña and Karl Landsteiner},
journal= {arXiv preprint arXiv:2407.04372},
year = {2024}
}
Comments
Review contribution to 'Frontiers Research Topic': Quasi-Normal Modes, Non-Selfadjoint Operators and Pseudospectrum: an Interdisciplinary Approach. 10 pages, 1 figure. V2: improved discussion, new figure added, published version, 9 pages, 2 figures