Microstate Counting of $AdS_4$ Hyperbolic Black Hole Entropy via the Topologically Twisted Index

Alejandro Cabo-Bizet; Victor I. Giraldo-Rivera; Leopoldo A. Pando Zayas

doi:10.1007/JHEP08(2017)023

Microstate Counting of $AdS_4$ Hyperbolic Black Hole Entropy via the Topologically Twisted Index

High Energy Physics - Theory 2017-09-13 v2

Authors: Alejandro Cabo-Bizet , Victor I. Giraldo-Rivera , Leopoldo A. Pando Zayas

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Abstract

We compute the topologically twisted index for general $\mathcal{N} = 2$ supersymmetric field theories on $\mathbb{H}_2\times S^1$ . We also discuss asymptotically $AdS_4$ magnetically charged black holes with hyperbolic horizon, in four-dimensional $\mathcal{N} = 2$ gauged supergravity. With certain assumptions, put forward by Benini, Hristov and Zaffaroni, we find precise agreement between the black hole entropy and the topologically twisted index, for $ABJM$ theories.

Keywords

topologically twisted index AdS4 black hole microstate counting supersymmetric field theories ABJM theory gauged supergravity

Cite

@article{arxiv.1701.07893,
  title  = {Microstate Counting of $AdS_4$ Hyperbolic Black Hole Entropy via the Topologically Twisted Index},
  author = {Alejandro Cabo-Bizet and Victor I. Giraldo-Rivera and Leopoldo A. Pando Zayas},
  journal= {arXiv preprint arXiv:1701.07893},
  year   = {2017}
}

Comments

39 pp + appendices, v2: references added, typos corrected

Microstate Counting of $AdS_4$ Hyperbolic Black Hole Entropy via the Topologically Twisted Index

Abstract

Keywords

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