Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity

Liu, James T.; Pando Zayas, Leopoldo A.; Rathee, Vimal; Zhao, Wenli

doi:10.1007/JHEP01(2018)026

Title: Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity

Abstract

The topologically twisted index for ABJM theory with gauge group U(N)_k × U(N)_-k has recently been shown, in the large-N limit, to reproduce the BekensteinHawking entropy of certain magnetically charged asymptotically AdS₄ black holes. We numerically study the index beyond the large-N limit and provide evidence that it contains a subleading logarithmic term of the form -1/2 log N. On the holographic side, this term naturally arises from a one-loop computation. However, we find that the contribution coming from the near horizon states does not reproduce the field theory answer. Lastly, we give some possible reasons for this apparent discrepancy.

Authors:

^[1];

^[2];

^[1]; Zhao, Wenli ^[1]

Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics, Randall Lab. of Physics
Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics, Randall Lab. of Physics; Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)

Publication Date:: Mon Jan 08 00:00:00 EST 2018

Research Org.:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1457338

Grant/Contract Number:: SC0017808

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 1; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; AdS-CFT Correspondence; Black Holes in String Theory; Supersymmetric Gauge Theory

Citation Formats


                    Liu, James T., Pando Zayas, Leopoldo A., Rathee, Vimal, and Zhao, Wenli. Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity.  United States: N. p., 2018. 
Web.  doi:10.1007/JHEP01(2018)026.

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                    Liu, James T., Pando Zayas, Leopoldo A., Rathee, Vimal, & Zhao, Wenli. Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity.  United States.  https://doi.org/10.1007/JHEP01(2018)026

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                    Liu, James T., Pando Zayas, Leopoldo A., Rathee, Vimal, and Zhao, Wenli. Mon .  
"Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity".  United States.  https://doi.org/10.1007/JHEP01(2018)026.  https://www.osti.gov/servlets/purl/1457338.

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@article{osti_1457338,

  title        = {Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity},

  author       = {Liu, James T. and Pando Zayas, Leopoldo A. and Rathee, Vimal and Zhao, Wenli},

  abstractNote = {The topologically twisted index for ABJM theory with gauge group U(N)k × U(N)-k has recently been shown, in the large-N limit, to reproduce the BekensteinHawking entropy of certain magnetically charged asymptotically AdS4 black holes. We numerically study the index beyond the large-N limit and provide evidence that it contains a subleading logarithmic term of the form -1/2 log N. On the holographic side, this term naturally arises from a one-loop computation. However, we find that the contribution coming from the near horizon states does not reproduce the field theory answer. Lastly, we give some possible reasons for this apparent discrepancy.},

  doi          = {10.1007/JHEP01(2018)026},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 1,

  volume       = 2018,

  place        = {United States},

  year         = {Mon Jan 08 00:00:00 EST 2018},

  month        = {Mon Jan 08 00:00:00 EST 2018}

}

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Black hole microstate counting in Type IIB from 5d SCFTs
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Title: Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity

Abstract

Citation Formats

Quantized antisymmetric tensor fields and self-consistent dimensional reduction in higher-dimensional spacetimes journal, January 1985

Exact microstate counting for dyonic black holes in AdS4 journal, August 2017

QUANTUM ENTROPY FUNCTION FROM AdS 2 / CFT 1 CORRESPONDENCE journal, September 2009

Logarithmic corrections to extremal black hole entropy from quantum entropy function journal, March 2011

Black hole microstates in AdS4 from supersymmetric localization journal, May 2016

Supersymmetric partition functions and the three-dimensional A-twist journal, March 2017

Localization in supergravity and quantum AdS 4 /CFT3 holography journal, October 2014

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

Logarithmic corrections to rotating extremal black hole entropy in four and five dimensions journal, May 2012

The Plancherel measure for p-forms in real hyperbolic spaces journal, December 1994

A one-loop test of quantum supergravity journal, November 2013

The differential form spectrum of hyperbolic space journal, September 1981

Microscopic origin of the Bekenstein-Hawking entropy journal, June 1996

Heat kernel expansion: user's manual journal, December 2003

Entanglement entropy of ABJM theory and entropy of topological black hole journal, July 2017

Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates journal, February 2012

Entropy function and AdS 2 / CFT 1 correspondence journal, November 2008

Hidden ghosts journal, June 1980

Summing up all genus free energy of ABJM matrix model journal, August 2011

Embedding AdS black holes in ten and eleven dimensions journal, October 1999

An extremization principle for the entropy of rotating BPS black holes in AdS5 journal, July 2017

Logarithmic corrections to $$ \mathcal{N} = {4} $$ and $$ \mathcal{N} = {8} $$ black hole entropy: a one loop test of quantum gravity journal, November 2011

The equivariant A-twist and gauged linear sigma models on the two-sphere journal, June 2015

ABJM theory as a Fermi gas journal, March 2012

Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function text, January 2010

Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates text, January 2011

ABJM theory as a Fermi gas text, January 2011

A topologically twisted index for three-dimensional supersymmetric theories text, January 2015

The equivariant A-twist and gauged linear sigma models on the two-sphere text, January 2015

Black hole microstates in AdS$_4$ from supersymmetric localization text, January 2015

Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces text, January 2016

Exact microstate counting for dyonic black holes in AdS4 text, January 2016

Entanglement Entropy of ABJM Theory and Entropy of Topological Black Hole text, January 2017

Black hole microstate counting in Type IIB from 5d SCFTs journal, May 2019

On the quantum entropy function in 4d gauged supergravity journal, July 2018

Localization of the action in AdS/CFT journal, October 2019

Topologically twisted indices in five dimensions and holography journal, November 2018

Topologically twisted index in the ’t Hooft limit and the dual AdS 4 black hole entropy journal, December 2019

Localization of the action in AdS/CFT text, January 2019

A One-loop Test of Quantum Black Holes in Anti de Sitter Space text, January 2017

Entropy functional and the holographic attractor mechanism text, January 2017

Topologically twisted indices in five dimensions and holography text, January 2018

Geometry of $\mathcal{I}$-extremization and black holes microstates text, January 2019

Quantized antisymmetric tensor fields and self-consistent dimensional reduction in higher-dimensional spacetimes
journal, January 1985

Exact microstate counting for dyonic black holes in AdS4
journal, August 2017

QUANTUM ENTROPY FUNCTION FROM AdS ₂ / CFT ₁ CORRESPONDENCE
journal, September 2009

Logarithmic corrections to extremal black hole entropy from quantum entropy function
journal, March 2011

Black hole microstates in AdS4 from supersymmetric localization
journal, May 2016

Supersymmetric partition functions and the three-dimensional A-twist
journal, March 2017

Localization in supergravity and quantum AdS 4 /CFT3 holography
journal, October 2014

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Logarithmic corrections to rotating extremal black hole entropy in four and five dimensions
journal, May 2012

The Plancherel measure for p-forms in real hyperbolic spaces
journal, December 1994

A one-loop test of quantum supergravity
journal, November 2013

The differential form spectrum of hyperbolic space
journal, September 1981

Microscopic origin of the Bekenstein-Hawking entropy
journal, June 1996

Heat kernel expansion: user's manual
journal, December 2003

Entanglement entropy of ABJM theory and entropy of topological black hole
journal, July 2017

Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates
journal, February 2012

Entropy function and AdS ₂ / CFT ₁ correspondence
journal, November 2008

Hidden ghosts
journal, June 1980

Summing up all genus free energy of ABJM matrix model
journal, August 2011

Embedding AdS black holes in ten and eleven dimensions
journal, October 1999

An extremization principle for the entropy of rotating BPS black holes in AdS5
journal, July 2017

Logarithmic corrections to $$ \mathcal{N} = {4} $$ and $$ \mathcal{N} = {8} $$ black hole entropy: a one loop test of quantum gravity
journal, November 2011

The equivariant A-twist and gauged linear sigma models on the two-sphere
journal, June 2015

ABJM theory as a Fermi gas
journal, March 2012

Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
text, January 2010

Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
text, January 2011

ABJM theory as a Fermi gas
text, January 2011

A topologically twisted index for three-dimensional supersymmetric theories
text, January 2015

The equivariant A-twist and gauged linear sigma models on the two-sphere
text, January 2015

Black hole microstates in AdS$_4$ from supersymmetric localization
text, January 2015

Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces
text, January 2016

Exact microstate counting for dyonic black holes in AdS4
text, January 2016

Entanglement Entropy of ABJM Theory and Entropy of Topological Black Hole
text, January 2017

Black hole microstate counting in Type IIB from 5d SCFTs
journal, May 2019

On the quantum entropy function in 4d gauged supergravity
journal, July 2018

Localization of the action in AdS/CFT
journal, October 2019

Topologically twisted indices in five dimensions and holography
journal, November 2018

Topologically twisted index in the ’t Hooft limit and the dual ${AdS}_{4}$ black hole entropy
journal, December 2019

Localization of the action in AdS/CFT
text, January 2019

A One-loop Test of Quantum Black Holes in Anti de Sitter Space
text, January 2017

Entropy functional and the holographic attractor mechanism
text, January 2017

Topologically twisted indices in five dimensions and holography
text, January 2018

Geometry of $\mathcal{I}$-extremization and black holes microstates
text, January 2019