Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization
Abstract We employ supersymmetric localization to determine the exact partition function of 3d N $$ \mathcal{N} $$ = 2 gauge theories on a background given by a round S 2 fibered over a circle and certain complexified background fields. The Coulomb branch localization locus includes monopole configu...
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doaj-ad16d4278cca4fa1864fcaca1203e3872020-11-25T02:24:32ZengSpringerOpenJournal of High Energy Physics1029-84792020-03-012020313610.1007/JHEP03(2020)081Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localizationJun Nian0Leopolda A. Pando Zayas1Leinweber Center for Theoretical Phymcs, Univermty of MichiganLeinweber Center for Theoretical Phymcs, Univermty of MichiganAbstract We employ supersymmetric localization to determine the exact partition function of 3d N $$ \mathcal{N} $$ = 2 gauge theories on a background given by a round S 2 fibered over a circle and certain complexified background fields. The Coulomb branch localization locus includes monopole configurations, and the partition function reduces to a matrix model. We consider the partition function of the ABJM theory on this background as an explicit case. We verify that the large-N limit of the ABJM theory partition function produces, in the Cardy limit, the entropy function of the dual rotating, electrically charged asymptotically AdS4 supersymmetric black holes and thus provides a microscopic explanation for the Bekenstein-Hawking entropy.http://link.springer.com/article/10.1007/JHEP03(2020)081AdS-CFT CorrespondenceBlack Holes in String TheoryGauge-gravity correspondenceSupersymmetric Gauge Theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jun Nian Leopolda A. Pando Zayas |
spellingShingle |
Jun Nian Leopolda A. Pando Zayas Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory Gauge-gravity correspondence Supersymmetric Gauge Theory |
author_facet |
Jun Nian Leopolda A. Pando Zayas |
author_sort |
Jun Nian |
title |
Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization |
title_short |
Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization |
title_full |
Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization |
title_fullStr |
Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization |
title_full_unstemmed |
Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization |
title_sort |
microscopic entropy of rotating electrically charged ads4 black holes from field theory localization |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2020-03-01 |
description |
Abstract We employ supersymmetric localization to determine the exact partition function of 3d N $$ \mathcal{N} $$ = 2 gauge theories on a background given by a round S 2 fibered over a circle and certain complexified background fields. The Coulomb branch localization locus includes monopole configurations, and the partition function reduces to a matrix model. We consider the partition function of the ABJM theory on this background as an explicit case. We verify that the large-N limit of the ABJM theory partition function produces, in the Cardy limit, the entropy function of the dual rotating, electrically charged asymptotically AdS4 supersymmetric black holes and thus provides a microscopic explanation for the Bekenstein-Hawking entropy. |
topic |
AdS-CFT Correspondence Black Holes in String Theory Gauge-gravity correspondence Supersymmetric Gauge Theory |
url |
http://link.springer.com/article/10.1007/JHEP03(2020)081 |
work_keys_str_mv |
AT junnian microscopicentropyofrotatingelectricallychargedads4blackholesfromfieldtheorylocalization AT leopoldaapandozayas microscopicentropyofrotatingelectricallychargedads4blackholesfromfieldtheorylocalization |
_version_ |
1724855156505313280 |