Worldsheet Instantons and Torsion Curves

Details Worldsheet Instantons and Torsion Curves Worldsheet Instantons and Torsion Curves

2008-01-27

arxiv.org/abs/0801.4154v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages. To appear in the proceedings of the first Sowers Theoretical Physics workshop, Virginia Tech, May 2007

Scientific paper

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.

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