# Matter-coupled supersymmetric Kerr-Newman-AdS$_4$ black holes

## TL;DR

This paper introduces new analytic rotating AdS4 black hole solutions in gauged supergravity, connecting their entropy to the dual superconformal index, and providing explicit models with M-theory uplifts.

## Contribution

The paper presents new supersymmetric rotating AdS4 black hole solutions in gauged supergravity with explicit M-theory uplifts and a holographic entropy computation.

## Key findings

- New analytic rotating AdS4 black hole solutions preserving two supercharges.
- An entropy function whose extremization yields the black hole entropy.
- Holographic match between black hole entropy and superconformal index.

## Abstract

We present new analytic rotating AdS$_4$ black holes, found as solutions of 4d gauged $\mathcal{N}=2$ supergravity coupled to abelian vector multiplets with a symmetric scalar manifold. These configurations preserve two real supercharges and have a smooth limit to the BPS Kerr-Newman-AdS$_4$ black hole. We spell out the solution of the $STU$ model admitting an uplift to M-theory on S$^7$. We identify an entropy function, which upon extremization gives the black hole entropy, to be holographically reproduced by the leading $N$ contribution of the generalized superconformal index of the dual theory.