Duality for toric LandauGinzburg models
Abstract
We introduce a duality construction for toric LandauGinzburg models, applicable to complete intersections in toric varieties via the sigma model / LandauGinzburg model correspondence. This construction is shown to reconstruct those of BatyrevBorisov, BerglundH"ubsch, Givental, and HoriVafa. 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 LandauGinzburg models dual to elliptic curves in (P^1)^2 .
 Publication:

arXiv eprints
 Pub Date:
 March 2008
 arXiv:
 arXiv:0803.0447
 Bibcode:
 2008arXiv0803.0447C
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematical Physics;
 14J32;
 14M10;
 14M25;
 14J81
 EPrint:
 Accepted for publication in Advances in Theoretical and Mathematical Physics