Central charges of T-dual branes for toric varieties

preprint2016arXivOpen access

Abstract

Given any equivariant coherent sheaf L\mathcal L on a compact semi-positive toric orbifold X\mathcal X, its SYZ T-dual mirror dual is a Lagrangian brane in the Landau-Ginzburg mirror. We prove the oscillatory integral of the equivariant superpotential in the Landau Ginzburg mirror over this Lagrangian brane is the genus-zero 11-descendant Gromov-Witten potential with a Gamma-type class of L\mathcal L inserted.

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