BPS Black Hole Horizons in N=2 Gauged Supergravity

Understand

We study static BPS black hole horizons in four dimensional N=2 gauged supergravity coupled to $n_v$-vector multiplets and with an arbitrary cubic prepotential.

• We work in a symplectically covariant formalism which allows for both electric and magnetic gauging parameters as well as dyonic background charges and obtain the general solution to the BPS equations for horizons of the form $AdS_2\times \Sigma_g$.
• In particular this means we solve for the scalar fields as well as the metric of these black holes as a function of the gauging parameters and background charges.
• When the special Kahler manifold is a symmetric space, our solution is completely explicit and the entropy is related to the familiar quartic invariant.