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BPS black holes from massive IIA on \(S^{6}\). (English) Zbl 1382.83057

Summary: We present BPS black hole solutions in a four-dimensional \( \mathcal{N}=2\) supergravity with an abelian dyonic gauging of the universal hypermultiplet moduli space. This supergravity arises as the SU(3)-invariant subsector in the reduction of massive IIA supergravity on a six-sphere. The solutions are supported by non-constant scalar, vector and tensor fields and interpolate between a unique \(\mathrm{AdS}_{2} \times H^2\) geometry in the near-horizon region and the domain-wall \(DW_{4}\) (four-dimensional) description of the D2-brane at the boundary. Some special solutions with charged \(\mathrm{AdS}_{4}\) or non-relativistic scaling behaviours in the ultraviolet are also presented.

MSC:

83C57 Black holes
83E50 Supergravity
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
83C15 Exact solutions to problems in general relativity and gravitational theory

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