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

Klaus Behrndt

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.

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

Paper Structure

This paper contains 32 equations.