$N=2$ heterotic string threshold correction, $K3$ surface and generalized Kac-Moody superalgebra

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, LaTeX; reference added, numerical factor corrected

Scientific paper

10.1016/0370-2693(96)00052-4

We study a standard-embedding $N=2$ heterotic string compactification on $K3\times T^2$ with a Wilson line turned on and perform a world-sheet calculation of string threshold correction. The result can be expressed in terms of the quantities appearing in the two-loop calculation of bosonic string. We also comment and speculate on the relevance of our result to generalized Kac-Moody superalgebra and $N=2$ heterotic-type IIA duality.

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