Supersymmetric \(\mathrm{AdS}_{6}\) black holes from F(4) gauged supergravity

DOI10.1007/JHEP01(2019)035zbMATH Open1409.83214arXiv1809.03517MaRDI QIDQ667075

Author name not available (Why is that?)

Publication date: 12 March 2019

Published in: (Search for Journal in Brave)

Abstract: In

F (4)

gauged supergravity in six dimensions, we study supersymmetric

A d S_{6}

black holes with various horizon geometries. We find a new

A d S_{2}, i m e s, S i g m a_{m a t h f r a k g_{1}} i m e s S i g m a_{m a t h f r a k g_{2}}

horizon solution with

m a t h f r a k g_{1} > 1

and

m a t h f r a k g_{2} > 1

, and present the black hole solution numerically. The full black hole is an interpolating geometry between the asymptotically

A d S_{6}

boundary and the

A d S_{2}, i m e s, S i g m a_{m a t h f r a k g_{1}} i m e s S i g m a_{m a t h f r a k g_{2}}

horizon. We calculate the Bekenstein-Hawking entropy of the black hole and find a match with the recently calculated topologically twisted index of 5d

U S p (2 N)

gauge theory on

S i g m a_{m a t h f r a k g_{1}} i m e s S i g m a_{m a t h f r a k g_{2}} i m e s S^{1}

in the large

N

limit. We also find black hole horizons of K"ahler four-cycles in Calabi-Yau fourfolds and on Cayley four-cycles in

S p i n (7)

manifolds.

Full work available at URL: https://arxiv.org/abs/1809.03517

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