Central charges, symplectic forms, and hypergeometric series in local mirror symmetry

Details Central charges, symplectic forms, and hypergeometric series in local mirror symmetry Central charges, symplectic forms, and hypergeometric series in local mirror symmetry

2004-04-06

arxiv.org/abs/hep-th/0404043v4

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, AMSLatex; v2: typos corrected and minor corrections, v3: construction of cycles in Appendix A completed, v4: typos c

Scientific paper

We study a cohomology-valued hypergeometric series which naturally arises in the description of (local) mirror symmetry. We identify it as a central charge formula for BPS states and study its monodromy property from the viewpoint of Kontsevich's homological mirror symmetry. In the case of local mirror symmetry, we will identify a symplectic form, and will conjecture an integral and symplectic monodromy property of a relevant hypergeometric series of Gel'fand-Kapranov-Zelevinski type.

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