Pseudospectra of Quasinormal Modes and Holography

TL;DR

This paper reviews recent advances in understanding the stability of black hole quasinormal modes within the holographic duality framework using pseudospectra analysis, shedding light on strongly coupled quantum field theories.

Contribution

It introduces pseudospectra methods to analyze quasinormal modes, providing new insights into black hole stability in the context of holography.

Findings

Pseudospectra reveal stability properties of quasinormal modes.

Enhanced understanding of black hole dynamics in AdS space.

Implications for dual strongly coupled quantum theories.

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.