Kerr-Newman black holes from $\mathcal{N}=1^*$

TL;DR

This paper investigates the microstate counting of charged rotating supersymmetric black holes in AdS$_5$, using extremization techniques from dual superconformal field theories, and finds agreement between field theory and gravitational results for the Leigh-Strassler fixed point.

Contribution

It extends the extremization approach to the Leigh-Strassler fixed point, providing new insights into black hole microstates and their dual field theories.

Findings

Agreement between field theory and gravitational calculations for the Leigh-Strassler fixed point.

Extension of extremization methods to new superconformal fixed points.

Validation of the attractor mechanism in this context.

Abstract

The microstate counting of charged rotating AdS$_5$ supersymmetric black holes has been reformulated in terms of an extremization problem, obtained from the superconformal index of the 4d dual SCFT. On the gravitational side this problem corresponds to the attractor mechanism of the theory KK reduced on AdS$_4$. Such procedure has indeed been successfully applied to some consistent truncations with a known field theory dual description. In this paper we study the case of the Leigh-Strassler fixed point along these lines, finding an agreement between the field theory and the gravitational results.