Toward microstate counting beyond large N in localization and the dual oneloop quantum supergravity
The topologically twisted index for ABJM theory with gauge group U(N) _{k} × U(N) _{k} has recently been shown, in the largeN limit, to reproduce the BekensteinHawking entropy of certain magnetically charged asymptotically AdS _{4} black holes. We numerically study the index beyond the largeN 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 oneloop 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:

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 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:
 Grant/Contract Number:
 SC0017808
 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 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Univ. of Michigan, Ann Arbor, MI (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; AdSCFT Correspondence; Black Holes in String Theory; Supersymmetric Gauge Theory
 OSTI Identifier:
 1457338
Liu, James T., Pando Zayas, Leopoldo A., Rathee, Vimal, and Zhao, Wenli. Toward microstate counting beyond large N in localization and the dual oneloop quantum supergravity. United States: N. p.,
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 oneloop quantum supergravity. United States. doi:10.1007/JHEP01(2018)026.
Liu, James T., Pando Zayas, Leopoldo A., Rathee, Vimal, and Zhao, Wenli. 2018.
"Toward microstate counting beyond large N in localization and the dual oneloop 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 oneloop 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 largeN limit, to reproduce the BekensteinHawking entropy of certain magnetically charged asymptotically AdS4 black holes. We numerically study the index beyond the largeN 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 oneloop 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 = {2018},
month = {1}
}