Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity

TL;DR

This paper studies supersymmetric static dyonic black holes in N=2 U(1) gauged supergravity, deriving flow equations and analyzing the attractor mechanism in a duality-symmetric framework.

Contribution

It provides the first-order flow equations for scalar fields and metrics in this context, including electric and magnetic gaugings, and discusses moduli stabilization.

Findings

Derived general flow equations for black hole solutions.

Analyzed the attractor mechanism and moduli stabilization.

Worked in a duality-symmetric setup for electric and magnetic gaugings.

Abstract

We investigate the existence of supersymmetric static dyonic black holes with spherical horizon in the context of N= 2 U(1) gauged supergravity in four dimensions. We analyze the conditions for their existence and provide the general first-order flow equations driving the scalar fields and the metric warp factors from the asymptotic AdS4 geometry to the horizon. We work in a general duality-symmetric setup, which allows to describe both electric and magnetic gaugings. We also discuss the attractor mechanism and the issue of moduli (de-)stabilization.