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Abstract: We present solutions for the higher genus topological string amplitudes onCalabi-Yau-manifolds, which are realized as complete intersections inGrassmannians. We solve the B-model by direct integration of the holomorphicanomaly equations using a finite basis of modular invariant generators, the gapcondition at the conifold and other local boundary conditions for theamplitudes. Regularity of the latter at certain points in the moduli spacesuggests a CFT description. The A-model amplitudes are evaluated using a mirrorconjecture for Grassmannian Calabi-Yau by Batyrev, Ciocan-Fontanine, Kim andVan Straten. The integrality of the BPS states gives strong evidence for theconjecture.



Autor: Babak Haghighat, Albrecht Klemm

Fuente: https://arxiv.org/







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