A proposal for (0,2) mirrors of toric varieties

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dc.contributor.authorGu, Weien
dc.contributor.authorSharpe, Eric R.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-02-28T18:45:08Zen
dc.date.available2019-02-28T18:45:08Zen
dc.date.issued2017-11-20en
dc.description.abstractIn 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.en
dc.description.notesWe would like to thank L. Anderson, C. Closset, J. Gray, I. Melnikov, and R. Plesser for useful conversations. E.S. was partially supported by NSF grant PHY-1417410.en
dc.description.sponsorshipNSF [PHY-1417410]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP11(2017)112en
dc.identifier.issn1029-8479en
dc.identifier.issue11en
dc.identifier.other112en
dc.identifier.urihttp://hdl.handle.net/10919/88026en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectSigma Modelsen
dc.subjectSupersymmetric Gauge Theoryen
dc.subjectTopological Field Theoriesen
dc.subjectSupersymmetry and Dualityen
dc.titleA proposal for (0,2) mirrors of toric varietiesen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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