A note on the entropy of rotating BPS AdS$_7\times S^4$ black holes

TL;DR

This paper demonstrates that the entropy of BPS rotating AdS7×S4 black holes can be derived through an extremization principle linked to anomaly coefficients of the six-dimensional (2,0) theory, extending prior results from AdS5×S5.

Contribution

It introduces a novel extremization approach connecting black hole entropy to anomaly coefficients in six-dimensional theories.

Findings

Entropy obtained via extremization principle

Extension of previous AdS5×S5 results

Connection between black hole entropy and anomaly coefficients

Abstract

In this note we show that the entropy of BPS, rotating, electrically charged AdS$_7 \times S^4$ black holes can be obtained by an extremization principle involving a particular combination of anomaly coefficients of the six-dimensional $\mathcal{N} = (2, 0)$ theory. This result extends our previous finding for BPS, rotating AdS$_5 \times S^5$ black holes.