Worldsheet Instantons and Torsion Curves

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We study aspects of worldsheet instantons relevant to a heterotic standard model. The non-simply connected Calabi-Yau threefold used admits Z_3 x Z_3 Wilson lines, and a more detailed investigation shows that the homology classes of curves are H_2(X,Z)=Z^3+Z_3+Z_3. We compute the genus-0 prepotential, this is the first explicit calculation of the Gromov-Witten invariants of homology classes with torsion (finite subgroups). In particular, some curve classes contain only a single instanton. This ensures that the Beasley-Witten cancellation of instanton contributions cannot happen on this (non-toric) Calabi-Yau threefold.
9 pages. To appear in the proceedings of the first Sowers Theoretical Physics workshop, Virginia Tech, May 2007

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/146727

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.4154
 http://arxiv.org/abs/0801.4154

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arXiv