Black hole solutions of N=2, d=4 supergravity with a quantum correction, in the H-FGK formalism

TL;DR

This paper investigates black hole solutions in N=2, d=4 supergravity incorporating quantum corrections, using the H-FGK formalism to derive explicit extremal and non-extremal solutions, revealing some solutions lack a classical limit.

Contribution

It provides explicit solutions for quantum-corrected black holes in N=2 supergravity using the H-FGK formalism, including cases with and without quantum effects.

Findings

Derived explicit extremal and non-extremal solutions for the t^3 model.

Identified solutions without a regular classical limit, including a single charge case.

Showed that not all quantum black holes have a classical counterpart.

Abstract

We apply the H-FGK formalism to the study of some properties of the general class of black holes in N=2 supergravity in four dimensions that correspond to the harmonic and hyperbolic ansatze and obtain explicit extremal and non-extremal solutions for the t^3 model with and without a quantum correction. Not all solutions of the corrected model (quantum black holes), including in particular a solution with a single q_1 charge, have a regular classical limit.