Non-Perturbative Superpotentials and Discrete Torsion
We discuss the non-perturbative superpotential in E{sub 8}×E{sub 8} heterotic string theory on a non-simply connected Calabi–Yau manifold X, as well as on its simply connected covering space X-tilde . The superpotential is induced by the string wrapping holomorphic, isolated, genus zero curves. We show, in a specific example, that the superpotential is non-zero both on X-tilde and on X avoiding the no-go residue theorem of Beasley and Witten. On the non-simply connected manifold X, we explicitly compute the leading contribution to the superpotential from all holomorphic, isolated, genus zero curves with minimal area. The reason for the non-vanishing of the superpotental on X is that the second homology class contains a finite part called discrete torsion. As a result, the curves with the same area are distributed among different torsion classes and their contributions do not cancel each other.
- OSTI ID:
- 22981791
- Journal Information:
- Physics of Particles and Nuclei, Journal Name: Physics of Particles and Nuclei Journal Issue: 5 Vol. 49; ISSN 1063-7796
- Country of Publication:
- United States
- Language:
- English
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