AdS$_7$ Black Holes from Rotating M5-branes

TL;DR

This paper constructs and analyzes a new class of rotating AdS$_7$ black hole solutions in supergravity, revealing their thermodynamic properties and confirming their holographic duality with 6d SCFTs in the large N limit.

Contribution

It provides the first explicit construction of asymptotically AdS$_7$ black holes with multiple angular momenta and charges, and matches their thermodynamics with dual 6d SCFT predictions.

Findings

Explicit black hole solutions with three angular momenta and two electric charges.

Thermodynamic quantities such as entropy and energy are derived.

Agreement with dual SCFT path integral in the supersymmetric limit.

Abstract

We construct a general asymptotically locally AdS$_7$ stationary black hole solution of 7d maximal gauged supergravity with three angular momenta and two electric charges. When embedded in 11d supergravity the black hole describes the backreaction of $N$ coincident rotating M5-branes. We study the thermodynamic properties of the black hole and present explicit expressions for its entropy, energy, electric charges, and angular momenta. We show that in the supersymmetric limit of the solution its entropy and on-shell action precisely agree with the result for the path integral of the holographically dual 6d $\mathcal{N}=(2,0)$ SCFT on $S^1\times S^5$ to leading order in the large $N$ limit.