Abstract
Employing uplift formulae, we uplift supersymmetric AdS6 black holes from F(4) gauged supergravity to massive type IIA and type IIB supergravity. In massive type IIA supergravity, we obtain supersymmetric AdS6 black holes asymptotic to the Brandhuber-Oz solution. In type IIB supergravity, we obtain supersymmetric AdS6 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.
Highlights
More recently, uplift formula for F (4) gauged supergravity coupled to arbitrary number of vector multiplets to type IIB supergravity has been derived in [29]
For the solutions uplifted to massive type IIA supergravity, as the Brandhuber-Oz solution is the unique supersymmetric AdS6 solution of massive type IIA supergravity, the uplifted solutions are automatically asymptotic to i) the Brandhuber-Oz solution
In the uplift formulae in [28, 29], it is determined by choosing holomorphic functions, A±(z) where z is a complex coordinate on a Riemann surface, [12,13,14,15]
Summary
We review the uplift formula for F (4) gauged supergravity to massive type IIA supergravity in [25]. There are the metric, the real scalar field, φ, an SU(2) gauge field, AI , 1Schematic geometry of black holes asymptotic to the infinite family of supersymmetric AdS6 solutions of type IIB supergravity was considered for entropy counting in [43]. I = 1, 2, 3, a U(1) gauge field, A, and a two-form gauge potential, B. Their field strengths are respectively defined by. All the fields are vanishing except the AdS6 metric. The uplift formula for F (4) gauged supergravity to massive type IIA supergravity was obtained in [25]. The uplifted metric and the dilaton field are given by, respectively, ds2 = X1/8 sin1/12 ξ.
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