String-Loop Corrected Magnetic Black Holes

Details String-Loop Corrected Magnetic Black Holes String-Loop Corrected Magnetic Black Holes

2001-11-28

arxiv.org/abs/hep-th/0111254v3

JHEP 0202 (2002) 025

Physics

High Energy Physics

High Energy Physics - Theory

Improved version. Mixing of the dilaton with other moduli properly taken into account. Explanatory notes added

Scientific paper

10.1088/1126-6708/2002/02/025

We discuss the form of the string-loop-corrected effective action obtained by compactification of the heterotic string theory on the manifold $K3\times T^2$ or on its orbifold limit and the loop-corrected magnetic black hole solutions of the equations of motion. Effective 4D theory has N=2 local supersymmetry. Using the string-loop-corrected prepotential of the N=2 supersymmetric theory, which receives corrections only from the string world sheets of torus topology, we calculate the loop corrections to the tree-level gauge couplings and solve the loop-corrected equations of motion. At the string-tree level, the effective gauge couplings decrease at small distances from the origin, and in this region string-loop corrections to the gauge couplings become important. A possibility of smearing the singularity of the tree-level supersymmetric solution with partially broken supersymmetry by quantum corrections is discussed.

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