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Duality for toric Landau–Ginzburg models

Authors
  • Clarke, Patrick
Publication Date
Jan 01, 2017
Identifiers
DOI: 10.4310/ATMP.2017.v21.n1.a5
OAI: oai:inspirehep.net:780687
Source
INSPIRE-HEP
Keywords
License
Unknown
External links

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–Hübsch, 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 $(\mathbb{P}^1)^2$.

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