2008/02/20 by Babak Haghighat, Albrecht Klemm · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometric and Algebraic Topology #Geometry and complex manifolds #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/01/029
published as JHEP 0901:029,2009 · 36 pages, 1 eps figure
arxiv created 2008/02/20 · openalex publication_date 2009/01/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.