Wrapped M5-branes and AdS$_5$ Black Holes

TL;DR

This paper constructs new AdS$_5$ black hole solutions in 11d supergravity from wrapped M5-branes, analyzing their thermodynamics and matching entropy with dual SCFT indices.

Contribution

It demonstrates how wrapped M5-branes produce asymptotically AdS$_5$ black holes with N$^3$ entropy scaling, connecting supergravity solutions with dual SCFTs.

Findings

Black hole solutions exhibit N$^3$ entropy scaling.

Supersymmetric black holes' entropy matches superconformal index.

Backreaction of wrapped M5-branes yields consistent AdS$_5$ black holes.

Abstract

We use consistent truncations in supergravity to show that the backreaction of $N$ rotating M5-branes wrapped on a Riemann surface leads to asymptotically AdS$_5$ black hole solutions of 11d supergravity. We discuss the thermodynamic properties of these black holes focusing on their supersymmetric limit. The Bekenstein-Hawking entropy of the supersymmetric black holes scales as $N^3$ and can be reproduced by the superconformal index of the holographically dual 4d $\mathcal{N}=1$ SCFTs of class $\mathcal{S}$.