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

  • James T. LiuEmail author
  • Leopoldo A. Pando Zayas
  • Vimal Rathee
  • Wenli Zhao
Open Access
Regular Article - Theoretical Physics


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. We give some possible reasons for this apparent discrepancy.


AdS-CFT Correspondence Black Holes in String Theory Supersymmetric Gauge Theory 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Michigan Center for Theoretical Physics, Randall Laboratory of PhysicsUniversity of MichiganAnn ArborU.S.A.
  2. 2.The Abdus Salam International Centre for Theoretical PhysicsTriesteItaly

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