Microscopic entropy of rotating electrically charged AdS _{4} black holes from field theory localization
Abstract
We employ supersymmetric localization to determine the exact partition function of 3d 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 largeN limit of the ABJM theory partition function produces, in the Cardy limit, the entropy function of the dual rotating, electrically charged asymptotically AdS _{4} supersymmetric black holes and thus provides a microscopic explanation for the BekensteinHawking entropy.
 Authors:

 University of Michigan, Ann Arbor, MI (United States)
 University of Michigan, Ann Arbor, MI (United States); The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
 Publication Date:
 Research Org.:
 Univ. of Michigan, Ann Arbor, MI (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 OSTI Identifier:
 1656583
 Grant/Contract Number:
 SC0007859
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Volume: 2020; Journal Issue: 3; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdSCFT Correspondence; Black Holes in String Theory; Gaugegravity correspondence; Supersymmetric Gauge Theory
Citation Formats
Nian, Jun, and Pando Zayas, Leopolda A. Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization. United States: N. p., 2020.
Web. doi:10.1007/jhep03(2020)081.
Nian, Jun, & Pando Zayas, Leopolda A. Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization. United States. https://doi.org/10.1007/jhep03(2020)081
Nian, Jun, and Pando Zayas, Leopolda A. Fri .
"Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization". United States. https://doi.org/10.1007/jhep03(2020)081. https://www.osti.gov/servlets/purl/1656583.
@article{osti_1656583,
title = {Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization},
author = {Nian, Jun and Pando Zayas, Leopolda A.},
abstractNote = {We employ supersymmetric localization to determine the exact partition function of 3d N = 2 gauge theories on a background given by a round S2 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 largeN 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 BekensteinHawking entropy.},
doi = {10.1007/jhep03(2020)081},
url = {https://www.osti.gov/biblio/1656583},
journal = {Journal of High Energy Physics (Online)},
issn = {10298479},
number = 3,
volume = 2020,
place = {United States},
year = {2020},
month = {3}
}
Web of Science
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