Central charges of T-dual branes for toric varieties

Fang, Bohan

doi:10.1090/tran/7734

Central charges of T-dual branes for toric varieties
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Trans. Amer. Math. Soc. 373 (2020), 3829-3851 Request permission

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 that 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.

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