stu Black Holes Unveiled

TL;DR

This paper derives solutions for extremal black hole attractor flows in the stu model, a minimal supergravity theory, and analyzes their properties, including stability and supersymmetry aspects.

Contribution

It provides the first complete solutions for both BPS and non-BPS extremal black holes in the stu model, incorporating comparisons with previous work and stability analysis.

Findings

Explicit solutions for non-BPS and BPS attractor flows

Analysis of marginal stability of D-brane configurations

Comparison with fake supergravity formalism

Abstract

The general solutions of the radial attractor flow equations for extremal black holes, both for non-BPS with non-vanishing central charge Z and for Z=0, are obtained for the so-called stu model, the minimal rank-3 N=2 symmetric supergravity in d=4 space-time dimensions. Comparisons with previous results, as well as the fake supergravity (first order) formalism and an analysis of the BPS bound all along the non-BPS attractor flows and of the marginal stability of corresponding D-brane configurations, are given.