Black hole spectra in holography: Consequences for equilibration of dual gauge theories

For a closed system to equilibrate from a given initial condition there must exist an equilibrium state with the energy equal to the initial one. Equilibrium states of a strongly coupled gauge theory with a gravitational holographic dual are represented by black holes. We study the spectrum of black...

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Main Author: Alex Buchel
Format: Article
Language:English
Published: Elsevier 2015-07-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321315001662
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spelling doaj-409905f725834187b06dfbf7dd03d7962020-11-24T23:22:37ZengElsevierNuclear Physics B0550-32131873-15622015-07-01896C58761010.1016/j.nuclphysb.2015.05.006Black hole spectra in holography: Consequences for equilibration of dual gauge theoriesAlex Buchel0Department of Applied Mathematics, University of Western Ontario, London, Ontario N6A 5B7, CanadaFor a closed system to equilibrate from a given initial condition there must exist an equilibrium state with the energy equal to the initial one. Equilibrium states of a strongly coupled gauge theory with a gravitational holographic dual are represented by black holes. We study the spectrum of black holes in Pilch–Warner geometry. These black holes are holographically dual to equilibrium states of strongly coupled SU(N) N=2⁎ gauge theory plasma on S3 in the planar limit. We find that there is no energy gap in the black hole spectrum. Thus, there is a priori no obstruction for equilibration of arbitrary low-energy states in the theory via a small black hole gravitational collapse. The latter is contrasted with phenomenological examples of holography with dual four-dimensional CFTs having non-equal central charges in the stress–energy tensor trace anomaly.http://www.sciencedirect.com/science/article/pii/S0550321315001662
collection DOAJ
language English
format Article
sources DOAJ
author Alex Buchel
spellingShingle Alex Buchel
Black hole spectra in holography: Consequences for equilibration of dual gauge theories
Nuclear Physics B
author_facet Alex Buchel
author_sort Alex Buchel
title Black hole spectra in holography: Consequences for equilibration of dual gauge theories
title_short Black hole spectra in holography: Consequences for equilibration of dual gauge theories
title_full Black hole spectra in holography: Consequences for equilibration of dual gauge theories
title_fullStr Black hole spectra in holography: Consequences for equilibration of dual gauge theories
title_full_unstemmed Black hole spectra in holography: Consequences for equilibration of dual gauge theories
title_sort black hole spectra in holography: consequences for equilibration of dual gauge theories
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2015-07-01
description For a closed system to equilibrate from a given initial condition there must exist an equilibrium state with the energy equal to the initial one. Equilibrium states of a strongly coupled gauge theory with a gravitational holographic dual are represented by black holes. We study the spectrum of black holes in Pilch–Warner geometry. These black holes are holographically dual to equilibrium states of strongly coupled SU(N) N=2⁎ gauge theory plasma on S3 in the planar limit. We find that there is no energy gap in the black hole spectrum. Thus, there is a priori no obstruction for equilibration of arbitrary low-energy states in the theory via a small black hole gravitational collapse. The latter is contrasted with phenomenological examples of holography with dual four-dimensional CFTs having non-equal central charges in the stress–energy tensor trace anomaly.
url http://www.sciencedirect.com/science/article/pii/S0550321315001662
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