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

A bstract 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 larg...

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Bibliographic Details
Published in:The journal of high energy physics 2018-01, Vol.2018 (1), p.1-17, Article 26
Main Authors: Liu, James T., Pando Zayas, Leopoldo A., Rathee, Vimal, Zhao, Wenli
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
ASTRONOMY AND ASTROPHYSICS
Black holes
Black Holes in String Theory
Classical and Quantum Gravitation
Elementary Particles
Field theory
High energy physics
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supergravity
Supersymmetric Gauge Theory
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Summary:A bstract 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. We give some possible reasons for this apparent discrepancy.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2018)026