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

Journal Article · · Journal of High Energy Physics (Online)
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1];  [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics, Randall Lab. of Physics
  2. 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)

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.

Research Organization:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0017808
OSTI ID:
1457338
Journal Information:
Journal of High Energy Physics (Online), Vol. 2018, Issue 1; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 43 works
Citation information provided by
Web of Science

References (33)

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

Cited By (10)

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

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