Duality for toric Landau-Ginzburg models

Details Duality for toric Landau-Ginzburg models Duality for toric Landau-Ginzburg models

2008-03-04

arxiv.org/abs/0803.0447v1

Mathematics

Algebraic Geometry

32 pages, 4 figures

Scientific paper

We introduce a duality construction for toric Landau-Ginzburg models, applicable to complete intersections in toric varieties via the sigma model / Landau-Ginzburg model correspondence. This construction is shown to reconstruct those of Batyrev-Borisov, Berglund-H"ubsch, Givental, and Hori-Vafa. It can be done in more general situations, and provides partial resolutions when the above constructions give a singular mirror. An extended example is given: the Landau-Ginzburg models dual to elliptic curves in (P^1)^2 .

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