Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization

doi:https://doi.org/10.1007/jhep03(2020)081

Title: 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 large-N 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 Bekenstein-Hawking entropy.

Authors:

^[1];

^[2]

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:: 2020-03-13

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 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Black Holes in String Theory; Gauge-gravity 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.

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                    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

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                    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.

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@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 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.},

  doi          = {10.1007/jhep03(2020)081},

  url          = {https://www.osti.gov/biblio/1656583},
  journal      = {Journal of High Energy Physics (Online)},

  issn         = {1029-8479},

  number       = 3,

  volume       = 2020,

  place        = {United States},

  year         = {2020},

  month        = {3}

}

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Works referenced in this record:

Anti de Sitter space and holography
journal, January 1998

Witten, Edward
Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2
https://doi.org/10.4310/ATMP.1998.v2.n2.a2

M-Strings
journal, August 2014

Haghighat, Babak; Iqbal, Amer; Kozçaz, Can
Communications in Mathematical Physics, Vol. 334, Issue 2
https://doi.org/10.1007/s00220-014-2139-1

Supersymmetric AdS ₅ black holes
journal, February 2004

Gutowski, Jan B.; Reall, Harvey S.
Journal of High Energy Physics, Vol. 2004, Issue 02
https://doi.org/10.1088/1126-6708/2004/02/006

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Title: Microscopic entropy of rotating electrically charged AdS 4 black holes from field theory localization

Abstract

Citation Formats

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Title: Microscopic entropy of rotating electrically charged AdS ₄ black holes from field theory localization

Anti de Sitter space and holography
journal, January 1998

M-Strings
journal, August 2014

Supersymmetric AdS ₅ black holes
journal, February 2004