Quantum corrections for D=4 black holes and D=5 strings

TL;DR

This paper extends quantum correction analyses for N=2 black holes in 4D to cases with non-constant scalar fields, including massless and singular solutions, and explores their relation to 5D magnetic strings.

Contribution

It generalizes existing quantum correction solutions to include non-constant scalar fields and links 4D black holes to 5D magnetic strings.

Findings

Quantum corrections applied to non-constant scalar field solutions.

Massless and singular black hole configurations analyzed.

Connection established between 4D black holes and 5D magnetic strings.

Abstract

In recent times quantum corrections for N=2 black holes in 4 dimensions have been addressed in the framework of double extreme black hole solutions, which are characterised by constant scalar fields. In this paper we generalize these solutions to non-constant scalar fields. This enables us to discuss quantum corrections for massless black holes and for configurations that are classically singular. We also discuss the relation to the 5-dimensional magnetic string solution.