Uplifting supersymmetric $Ad{S}_6$ black holes to type II supergravity

Abstract

Employing uplift formulae, we uplift supersymmetric $Ad{S}_6$ black holes from $F(4)$ gauged supergravity to massive type IIA and type IIB supergravity. In massive type IIA supergravity, we obtain supersymmetric $Ad{S}_6$ black holes asymptotic to the Brandhuber-Oz solution. In type IIB supergravity, we obtain supersymmetric $Ad{S}_6$ 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.

arXiv commentv3: 25 pages, holographic entanglement entropy calculated and matched the Bekenstein-Hawking entropy of the black holes, published version

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• D4-branes wrapped on four-dimensional orbifolds through consistent truncation