Duality for toric Landau-Ginzburg models
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 .
- Publication:
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arXiv e-prints
- Pub Date:
- March 2008
- DOI:
- 10.48550/arXiv.0803.0447
- arXiv:
- arXiv:0803.0447
- Bibcode:
- 2008arXiv0803.0447C
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematical Physics;
- 14J32;
- 14M10;
- 14M25;
- 14J81
- E-Print:
- Accepted for publication in Advances in Theoretical and Mathematical Physics