Attractor Flows in st^2 Black Holes

TL;DR

This paper derives new general solutions for extremal black hole attractor flows in the st^2 supergravity model, compares with existing results, and explores stability and BPS bounds using fake supergravity formalism.

Contribution

It provides the first complete solutions for non-BPS attractor flows in the st^2 model and introduces the fake supergravity approach for analyzing these flows.

Findings

Derived general solutions for extremal black hole attractor flows.

Compared new solutions with existing literature.

Analyzed BPS bounds and marginal stability of D-brane configurations.

Abstract

Following the same treatment of Bellucci et.al., we obtain the hitherto unknown general solutions of the radial attractor flow equations for extremal black holes, both for non-BPS with non-vanishing and vanishing central charge Z for the so-called st^2 model, the minimal rank-2 N=2 symmetric supergravity in d=4 space-time dimensions. We also make useful comparisons with results that already exist in literature,and introduce the fake supergravity (first-order) formalism to be used in our analysis. An analysis of the BPS bound all along the non-BPS attractor flows and of the marginal stability of corresponding D-brane charge configurations has also been presented.