Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity
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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.
KeywordsAdS-CFT Correspondence Black Holes in String Theory Supersymmetric Gauge Theory
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