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arXiv · hep-th/9807124

(0,2) Heterotic Gauge Couplings and their M-Theory Origin

S. Stieberger
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Abstract

We work out the relation between automorphic forms on SO(s+2,2) and gauge one-loop corrections of heterotic K3 x T^2 string compactifications for the cases s=0,1. We find that one-loop gauge corrections of any orbifold limit of K3 can always be expressed by their instanton numbers and generic automorphic forms.These functions classify also one-loop gauge thresholds of N=1 (0,2) heterotic compactifications based on toroidal orbifolds T^6/Z_N. We compare these results with the gauge couplings of M-theory compactified on S^1/Z_2 x T^6/Z_N using Witten's Calabi-Yau strong coupling expansion.

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S. Stieberger. 1998-10-18. (0,2) Heterotic Gauge Couplings and their M-Theory Origin. https://doi.org/10.1016/s0550-3213(98)00770-6

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