Worldsheet Instantons and Torsion Curves
arXiv:0801.4154
Abstract
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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- Exploring Positive Monad Bundles And A New Heterotic Standard Model
- On Free Quotients of Complete Intersection Calabi-Yau Manifolds
- Calabi-Yau Metrics for Quotients and Complete Intersections
- Summing the Instantons in Half-Twisted Linear Sigma Models
- A New Construction of Calabi-Yau Manifolds: Generalized CICYs
- The Expanding Zoo of Calabi-Yau Threefolds
- Worldsheet instantons and (0,2) linear models
- Quantum Corrections to Heterotic Moduli Potentials
- Eigenvalues and eigenforms on Calabi-Yau threefolds
- Heterotic (0,2) Gepner Models and Related Geometries
- Max Kreuzer's Contributions to the Study of Calabi-Yau Manifolds