Central charges of T-dual branes for toric varieties

Abstract

Given any equivariant coherent sheaf $\mathcal{L}$ on a compact semi-positive toric orbifold $\mathcal{X}$, 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 $1$-descendant Gromov-Witten potential with a Gamma-type class of $\mathcal{L}$ inserted.

21 page, 3 figures

References in corpus (3)

• Central charges, symplectic forms, and hypergeometric series in local mirror symmetry
• Remarks on the nonequivariant coherent-constructible correspondence for toric varieties
• Seidel Representations and Quantum Cohomology of Toric Orbifolds

Cited by in corpus (1)

• Gamma II for toric varieties from integrals on T-dual branes and homological mirror symmetry