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Supersymmetric AdS6 black holes from F(4) gauged supergravity
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Journal Article
Supersymmetric AdS6 black holes from F(4) gauged supergravity
2019
Overview
A
bstract
In
F
(4) gauged supergravity in six dimensions, we study supersymmetric
AdS
6
black holes with various horizon geometries. We find a new
Ad
S
2
×
Σ
g
1
×
Σ
g
2
horizon solution with
g
1
>
1
and
g
2
>
1
, and present the black hole solution numerically. The full black hole is an interpolating geometry between the asymptotically
AdS
6
boundary and the
Ad
S
2
×
Σ
g
1
×
Σ
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 USp(2
N
) gauge theory on
Σ
g
1
×
Σ
g
2
×
S
1
in the large
N
limit. We also find black hole horizons of Kähler four-cycles in Calabi-Yau fourfolds and on Cayley four-cycles in Spin(7) manifolds.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
