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

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

1998-07-17

arxiv.org/abs/hep-th/9807124v4

Nucl.Phys.B541:109-144,1999

Physics

High Energy Physics

High Energy Physics - Theory

40 pages; Added N=1 models with vanishing perturbative corrections to the gauge kinetic function, i.e. epsilon=0

Scientific paper

10.1016/S0550-3213(98)00770-6

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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