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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 AdS 4 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:
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)
Publication Date:
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:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
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.
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. doi:10.1007/JHEP01(2018)026.
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. doi:10.1007/JHEP01(2018)026. https://www.osti.gov/servlets/purl/1457338.
@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)},
issn = {1029-8479},
number = 1,
volume = 2018,
place = {United States},
year = {2018},
month = {1}
}

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Cited by: 16 works
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    Works referencing / citing this record:

    The topologically twisted index of N $$ \mathcal{N} $$ = 4 super-Yang-Mills on T 2 × S2 and the elliptic genus
    journal, July 2018


    The topologically twisted index of N $$ \mathcal{N} $$ = 4 super-Yang-Mills on T 2 × S2 and the elliptic genus
    journal, July 2018