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Toda-like (0,2) mirrors to products of projective spaces

dc.contributor.authorChen, Zhuoen
dc.contributor.authorSharpe, Eric R.en
dc.contributor.authorWu, Ruoxuen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-03-04T13:54:11Zen
dc.date.available2019-03-04T13:54:11Zen
dc.date.issued2016-08-16en
dc.description.abstractOne of the open problems in understanding (0,2) mirror symmetry concerns the construction of Toda-like Landau-Ginzburg mirrors to (0,2) theories on Fano spaces. In this paper, we begin to fill this gap by making an ansatz for (0,2) Toda-like theories mirror to (0,2) supersymmetric nonlinear sigma models on products of projective spaces, with deformations of the tangent bundle, generalizing a special case previously worked out for P-1 x P-1. We check this ansatz by matching correlation functions of the B/2-twisted Todalike theories to correlation functions of corresponding A/2-twisted nonlinear sigma models, computed primarily using localization techniques. These (0,2) Landau-Ginzburg models admit redundancies, which can lend themselves to multiple distinct-looking representatives of the same physics, which we discuss.en
dc.description.notesWe would like to thank L. Anderson, R. Donagi, J. Gray, J. Guffin, S. Katz, Z. Lu, and I. Melnikov 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/JHEP08(2016)093en
dc.identifier.issn1029-8479en
dc.identifier.issue8en
dc.identifier.other93en
dc.identifier.urihttp://hdl.handle.net/10919/88065en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectTopological Field Theoriesen
dc.subjectExtended Supersymmetryen
dc.titleToda-like (0,2) mirrors to products of projective spacesen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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