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arXiv · 1707.04197

Toward Microstate Counting Beyond Large N in Localization and the Dual One-loop Quantum Supergravity

James T. Liu·Leopoldo A. Pando Zayas·Vimal Rathee·Wenli Zhao
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Abstract

The topologically twisted index for ABJM theory with gauge group $U(N)_k \times U(N)_{-k}$ has recently been shown, in the large-$N$ limit, to reproduce the Bekenstein-Hawking 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.

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James T. Liu, Leopoldo A. Pando Zayas, Vimal Rathee, Wenli Zhao. 2017-07-13. Toward Microstate Counting Beyond Large N in Localization and the Dual One-loop Quantum Supergravity. https://doi.org/10.1007/jhep01(2018)026

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