Supersymmetry and Attractors in N = 4 Supergravity

TL;DR

This paper investigates the attractor mechanism and supersymmetry preservation in extremal black holes within pure N=4 supergravity, demonstrating numerical analysis and specific supersymmetry conditions.

Contribution

It provides a numerical study of the attractor mechanism and characterizes supersymmetry preservation for certain charge configurations in N=4 supergravity.

Findings

Numerical demonstration of the attractor mechanism in N=4 supergravity.

Constant moduli solutions preserve 1/4 of supersymmetries under specific charge conditions.

Supersymmetry preservation depends on the inequality p^2q^2 > (p.q)^2.

Abstract

In this paper, we study the attractor mechanism for extremal, spherically symmetric black holes in pure N = 4 Poincar\'e supergravity, which we demonstrate numerically. We further study the supersymmetries preserved by these solutions by focussing specifically on the constant moduli solutions and show that, for a generic dyonic charge configuration satisfying $p^2q^2>(p.q)^2$, they always preserve 1/4th of the total supersymmetries.