String-Loop Corrected Magnetic Black Holes

Abstract

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.

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

References in corpus (1)

• N=2 Supersymmetry and String-Loop Corrected Magnetic Black Holes

Cited by in corpus (1)

• Low redshift observational constraints on tachyon models of dark energy