A Universal Counting of Black Hole Microstates in AdS$_4$
Abstract
Many three-dimensional SCFTs admit a universal partial topological twist when placed on hyperbolic Riemann surfaces. We exploit this fact to derive a universal formula which relates the planar limit of the topologically twisted index of these SCFTs and their three-sphere partition function. We then utilize this to account for the entropy of a large class of supersymmetric asymptotically AdS magnetically charged black holes in M-theory and massive type IIA string theory. In this context we also discuss novel AdS solutions of eleven-dimensional supergravity which describe the near horizon region of large new families of supersymmetric black holes arising from M2-branes wrapping Riemann surfaces.
Keywords
Cite
@article{arxiv.1707.04257,
title = {A Universal Counting of Black Hole Microstates in AdS$_4$},
author = {Francesco Azzurli and Nikolay Bobev and P. Marcos Crichigno and Vincent S. Min and Alberto Zaffaroni},
journal= {arXiv preprint arXiv:1707.04257},
year = {2018}
}
Comments
31 pages + appendices; v2: Added a discussion on the relation between black hole entropy and the on-shell action. Additional references