(0,2) Heterotic Gauge Couplings and their M-Theory Origin
High Energy Physics - Theory
2008-11-26 v4
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.
Cite
@article{arxiv.hep-th/9807124,
title = {(0,2) Heterotic Gauge Couplings and their M-Theory Origin},
author = {S. Stieberger},
journal= {arXiv preprint arXiv:hep-th/9807124},
year = {2008}
}
Comments
40 pages; Added N=1 models with vanishing perturbative corrections to the gauge kinetic function, i.e. epsilon=0