Central charges of T-dual branes for toric varieties

2016/11/16 by Bohan Fang, Fang, Bohan · 2 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1611.05153

openalex publication_date 2016/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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