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MINI REVIEW article

Front. Phys.
Sec. Interdisciplinary Physics
Volume 12 - 2024 | doi: 10.3389/fphy.2024.1460268
This article is part of the Research Topic Quasi-Normal Modes, Non-Selfadjoint Operators and Pseudospectrum: an Interdisciplinary Approach View all 6 articles

Pseudospectra of Quasinormal Modes and Holography

Provisionally accepted
Daniel Arean Daniel Arean 1,2*David Garcia-Fariña David Garcia-Fariña 1,2*Karl Landsteiner Karl Landsteiner 2*
  • 1 Autonomous University of Madrid, Madrid, Spain
  • 2 Institute for Theoretical Physics (IFT) UAM-CSIC, Madrid, Spain

The final, formatted version of the article will be published soon.

    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.

    Keywords: Quasinormal modes, gauge/gravity duality, black holes, Anti-de Sitter space, Pseudospectra

    Received: 05 Jul 2024; Accepted: 19 Sep 2024.

    Copyright: © 2024 Arean, Garcia-Fariña and Landsteiner. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence:
    Daniel Arean, Autonomous University of Madrid, Madrid, Spain
    David Garcia-Fariña, Autonomous University of Madrid, Madrid, Spain
    Karl Landsteiner, Institute for Theoretical Physics (IFT) UAM-CSIC, Madrid, Spain

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