Rotating BPS black holes in matter-coupled AdS(4) supergravity

TL;DR

This paper constructs new rotating supersymmetric black hole solutions in AdS(4) supergravity with nonconstant scalars, extending previous static solutions and exploring their higher-dimensional uplifts and near-horizon geometries.

Contribution

It provides the first explicit construction of rotating BPS black holes in matter-coupled AdS(4) supergravity with nonconstant scalars, including their uplift and near-horizon analysis.

Findings

Constructed rotating supersymmetric black holes with nonconstant scalars.

Uplifted static solutions to eleven dimensions.

Related solutions to the dimensionally reduced gravitational Chern-Simons action.

Abstract

Using the general recipe given in arXiv:0804.0009, where all timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets were classified, we construct genuine rotating supersymmetric black holes in AdS(4) with nonconstant scalar fields. This is done for the SU(1,1)/U(1) model with prepotential F=-iX^0X^1. In the static case, the black holes are uplifted to eleven dimensions, and generalize the solution found in hep-th/0105250 corresponding to membranes wrapping holomorphic curves in a Calabi-Yau five-fold. The constructed rotating black holes preserve one quarter of the supersymmetry, whereas their near-horizon geometry is one half BPS. Moreover, for constant scalars, we generalize (a supersymmetric subclass of) the Plebanski-Demianski solution of cosmological Einstein-Maxwell theory to an arbitrary number of vector multiplets. Remarkably, the latter turns out to be related to the dimensionally reduced gravitational Chern-Simons action.