Central charges of T-dual branes for toric varieties

Central charges of T-dual branes for toric varieties

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 L...

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Veröffentlicht in:Transactions of the American Mathematical Society 2020-06, Vol.373 (6), p.3829-3851
1. Verfasser: Fang, Bohan
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0002-9947
1088-6850
DOI:10.1090/tran/7734