2017/07/31 by James T. Liu, Leopoldo A. Pando Zayas, Vimal Rathee +1 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep01(2018)026
published as JHEP01(2018)026 · 17 pages, 2 figures, discussion improved
arxiv created 2017/08/16 · arxiv updated 2018/01/10
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 Bekenstein-Hawking 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 -1/2log 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.