Pseudospectra of Quasinormal Modes and Holography
arXiv:2407.04372 · doi:10.3389/fphy.2024.1460268
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.
arXiv commentReview 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
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