Duality for toric Landau-Ginzburg models
Algebraic Geometry
2016-12-19 v2 Mathematical Physics
math.MP
Abstract
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 .
Keywords
Cite
@article{arxiv.0803.0447,
title = {Duality for toric Landau-Ginzburg models},
author = {Patrick Clarke},
journal= {arXiv preprint arXiv:0803.0447},
year = {2016}
}
Comments
Accepted for publication in Advances in Theoretical and Mathematical Physics