A proposal for \((0, 2)\) mirrors of toric varieties
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Publication:1706925
DOI10.1007/JHEP11(2017)112zbMATH Open1383.81295arXiv1707.05274MaRDI QIDQ1706925
Author name not available (Why is that?)
Publication date: 28 March 2018
Published in: (Search for Journal in Brave)
Abstract: In this paper we propose (0,2) mirrors for general Fano toric varieties with special tangent bundle deformations, corresponding to subsets of toric deformations. Our mirrors are of the form of (B/2-twisted) (0,2) Landau-Ginzburg models, matching Hori-Vafa mirrors on the (2,2) locus. We compare our predictions to (0,2) mirrors obtained by Chen et al for certain examples of toric varieties, and find that they match. We also briefly outline conjectures for analogous results for hypersurfaces in Fano toric varieties. Our methods utilize results from supersymmetric localization, which allows us to incidentally gain occasional further insights into GLSM-based (2,2) mirror constructions. For example, we explicitly verify that closed-string correlation functions of the original A-twisted GLSM match those of the mirror B-twisted Landau-Ginzburg model, as well as (0,2) deformations thereof.
Full work available at URL: https://arxiv.org/abs/1707.05274
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