New Branches of Non-supersymmetric Attractors in N=2 Supergravity

TL;DR

This paper explores new non-supersymmetric extremal black hole solutions in N=2 supergravity with cubic pre-potential, revealing novel attractor points characterized by involutory matrices.

Contribution

It introduces a new class of solutions to attractor equations in N=2 supergravity, expanding understanding of non-supersymmetric black hole attractors.

Findings

Constructed explicit new attractor solutions

Identified involutory matrices characterizing solutions

Generated new attractor points in moduli space

Abstract

In this paper we analyse non-supersymmetric single centred extremal black hole solutions in N=2 supergravity theory coupled to $n$ vector multiplets with purely cubic pre-potential in four dimensions. We consider the algebraic attractor equations in their most general form at the black hole horizon. We explicitly construct a new class of solutions for these attractor equations. These solutions are characterised by a set of involutory matrices. These involutions are obtained from a constraint involving the parameters in the pre-potential and generate new attractor points in the moduli space.