Threshhold Corrections in $K3\times T2$ Heterotic String Compactifications

Abstract

We consider compactifications of the heterotic string on $K3\times T2$ so that the resulting theory in $d=4$ space-time dimensions has $N=2$ supersymmetry. The gravitational and gauge coupling constants of the low-energy effective theory receive threshold corrections from loops of super-heavy string states. We calculate these corrections for the case when the $K3$-surface is a ${\mathbf{Z}}_n$ orbifold of a four torus $T4$. The results are used to determine the one-loop prepotential ${\mathcal{F}}_0^{(1)}$ for the vector multiplets and the gravitational coupling ${\mathcal{F}}_1^{(1)}$.

26pp. harvmac b mode

References in corpus (4)

• Algebras, BPS States, and Strings
• Counting Dyons in N=4 String Theory
• BPS Spectra and Non--Perturbative Couplings in N=2,4 Supersymmetric String Theories
• $N=2$ heterotic string threshold correction, $K3$ surface and generalized Kac-Moody superalgebra

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