Duality for toric Landau-Ginzburg models

作者:Clarke Patrick*
来源:Advances in Theoretical and Mathematical Physics, 2017, 21(1): 243-287.
DOI:10.4310/ATMP.2017.v21.n1.a5

摘要

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-Hubsch, 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).

  • 出版日期2017