2008/01/27 by Volker Braun, Braun, Volker, Maximilian Kreuzer +5 · 1 citation
Mathematics · Computer Science · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.0801.4154
We study aspects of worldsheet instantons relevant to a heterotic standard model. The non-simply connected Calabi-Yau threefold used admits Z3 x Z3 Wilson lines, and a more detailed investigation shows that the homology classes of curves are H2(X,Z)=Z3+Z3+Z3. 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.