Black Hole Quasinormal Modes and Seiberg–Witten Theory

We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional [Formula: see text] supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld quantization conditions on quasinormal mode frequencies in terms of the N...

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Detalles Bibliográficos
Autores principales: Aminov, Gleb, Grassi, Alba, Hatsuda, Yasuyuki
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9095548/
https://www.ncbi.nlm.nih.gov/pubmed/35573815
http://dx.doi.org/10.1007/s00023-021-01137-x
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author Aminov, Gleb
Grassi, Alba
Hatsuda, Yasuyuki
author_facet Aminov, Gleb
Grassi, Alba
Hatsuda, Yasuyuki
author_sort Aminov, Gleb
collection PubMed
description We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional [Formula: see text] supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld quantization conditions on quasinormal mode frequencies in terms of the Nekrasov partition function in a particular phase of the [Formula: see text] -background. Our quantization conditions also enable us to find exact expressions of eigenvalues of spin-weighted spheroidal harmonics. We test the validity of our conjecture by comparing against known numerical results for Kerr black holes as well as for Schwarzschild black holes. Some extensions are also discussed.
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spelling pubmed-90955482022-05-13 Black Hole Quasinormal Modes and Seiberg–Witten Theory Aminov, Gleb Grassi, Alba Hatsuda, Yasuyuki Ann Henri Poincare Original Paper We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional [Formula: see text] supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld quantization conditions on quasinormal mode frequencies in terms of the Nekrasov partition function in a particular phase of the [Formula: see text] -background. Our quantization conditions also enable us to find exact expressions of eigenvalues of spin-weighted spheroidal harmonics. We test the validity of our conjecture by comparing against known numerical results for Kerr black holes as well as for Schwarzschild black holes. Some extensions are also discussed. Springer International Publishing 2021-12-18 2022 /pmc/articles/PMC9095548/ /pubmed/35573815 http://dx.doi.org/10.1007/s00023-021-01137-x Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Aminov, Gleb
Grassi, Alba
Hatsuda, Yasuyuki
Black Hole Quasinormal Modes and Seiberg–Witten Theory
title Black Hole Quasinormal Modes and Seiberg–Witten Theory
title_full Black Hole Quasinormal Modes and Seiberg–Witten Theory
title_fullStr Black Hole Quasinormal Modes and Seiberg–Witten Theory
title_full_unstemmed Black Hole Quasinormal Modes and Seiberg–Witten Theory
title_short Black Hole Quasinormal Modes and Seiberg–Witten Theory
title_sort black hole quasinormal modes and seiberg–witten theory
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9095548/
https://www.ncbi.nlm.nih.gov/pubmed/35573815
http://dx.doi.org/10.1007/s00023-021-01137-x
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