Topological Strings on Grassmannian Calabi-Yau manifolds

Details Topological Strings on Grassmannian Calabi-Yau manifolds Topological Strings on Grassmannian Calabi-Yau manifolds

2008-02-20

arxiv.org/abs/0802.2908v1

JHEP 0901:029,2009

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 1 eps figure

Scientific paper

10.1088/1126-6708/2009/01/029

We present solutions for the higher genus topological string amplitudes on Calabi-Yau-manifolds, which are realized as complete intersections in Grassmannians. We solve the B-model by direct integration of the holomorphic anomaly equations using a finite basis of modular invariant generators, the gap condition at the conifold and other local boundary conditions for the amplitudes. Regularity of the latter at certain points in the moduli space suggests a CFT description. The A-model amplitudes are evaluated using a mirror conjecture for Grassmannian Calabi-Yau by Batyrev, Ciocan-Fontanine, Kim and Van Straten. The integrality of the BPS states gives strong evidence for the conjecture.

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