Black holes and equivariant charge vectors in N=2,d=4 supergravity

TL;DR

This paper explores the construction of extremal black hole solutions in N=2, d=4 supergravity, emphasizing the role of equivariant charge vectors and the H-FGK formalism to identify attractors, including unconventional solutions.

Contribution

It introduces the use of fake charge vectors equivariant under duality to simplify the identification of attractor solutions, extending previous methods to include anharmonic terms.

Findings

Equivariant fake charge vectors facilitate attractor identification.

Extended formalism accommodates unconventional solutions with anharmonic terms.

Clarified the role of duality invariance in supergravity black hole solutions.

Abstract

We extend previous investigations on the construction of extremal supersymmetric and non-supersymmetric solutions in the H-FGK formalism to "unconventional" solutions with anharmonic terms. We show how the use of "fake" charge vectors equivariant under duality transformations simplifies and clarifies the task of identification of the attractors of the theory.