Corpus ID: 8694913

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

@article{Hosono2004CentralCS,
  title={Central charges, symplectic forms, and hypergeometric series in local mirror symmetry},
  author={S. Hosono},
  journal={arXiv: High Energy Physics - Theory},
  year={2004}
}
  • S. Hosono
  • Published 2004
  • Physics, Mathematics
  • arXiv: High Energy Physics - Theory
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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