Freudenthal duality and conformal isometries of extremal black holes

TL;DR

This paper discovers a conformal isometry in static extremal black holes within certain supergravity theories, based on Freudenthal duality, applicable to various charge configurations and scalar manifolds.

Contribution

It introduces a new conformal isometry for extremal black holes in Einstein-Maxwell-scalar theories using Freudenthal duality, extending previous understanding.

Findings

Conformal isometry applies to all charge configurations.

Valid for theories with electromagnetic duality groups of type E7.

Includes supergravity theories with various supersymmetry levels.

Abstract

We present a conformal isometry for static extremal black hole solutions in all four-dimensional Einstein-Maxwell-scalar theories with electromagnetic duality groups `of type $E_7$'. This includes, but is not limited to, all supergravity theories with $\mathcal{N}>2$ supersymmetry and all $\mathcal{N}=2$ supergravity theories with symmetric scalar manifolds. The conformal isometry is valid for arbitrary electromagnetic charge configurations and relies crucially on the notion of Freudenthal duality.