Uplifting supersymmetric $AdS_6$ black holes to type II supergravity

TL;DR

This paper demonstrates how to uplift supersymmetric $AdS_6$ black holes from $F(4)$ gauged supergravity to massive type IIA and type IIB supergravity, and verifies the holographic entanglement entropy matches black hole entropy.

Contribution

It provides explicit uplift procedures for supersymmetric $AdS_6$ black holes to type II supergravity and computes their holographic entanglement entropy.

Findings

Holographic entanglement entropy matches Bekenstein-Hawking entropy in massive IIA.

Constructs supersymmetric $AdS_6$ black holes in type IIB via non-Abelian T-duality.

Provides explicit uplift formulas for $AdS_6$ black holes to type II supergravity.

Abstract

Employing uplift formulae, we uplift supersymmetric $AdS_6$ black holes from $F(4)$ gauged supergravity to massive type IIA and type IIB supergravity. In massive type IIA supergravity, we obtain supersymmetric $AdS_6$ black holes asymptotic to the Brandhuber-Oz solution. In type IIB supergravity, we obtain supersymmetric $AdS_6$ black holes asymptotic to the non-Abelian T-dual of the Brandhuber-Oz solution. For the uplifted black hole solutions, we calculate the holographic entanglement entropy. In massive type IIA supergravity, it precisely matches the Bekenstein-Hawking entropy of the black hole solutions.