Mirror Symmetry for Nonabelian Landau-Ginzburg Models

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dc.contributor.authorPriddis, Nathan
dc.contributor.authorWard, Joseph
dc.contributor.authorWilliams, Matthew M.
dc.date.accessioned2025-12-15T15:16:37Z
dc.date.issued2020
dc.description.abstractWe consider Landau-Ginzburg models stemming from groups comprised of non-diagonal symmetries, and we describe a rule for the mirror LG model. In particular, we present the non-abelian dual group G⋆, which serves as the appropriate choice of group for the mirror LG model. We also describe an explicit mirror map between the A-model and the B-model state spaces for two examples. Further, we prove that this mirror map is an isomorphism between the untwisted broad sectors and the narrow diagonal sectors for Fermat-type polynomials.
dc.description.sponsorshipThe authors would like to thank Tyler Jarvis, Yongbin Ruan, and Yefeng Shen for their helpful remarks on early results. We would also like to thank the anonymous referees whose suggestions have greatly improved this article.
dc.identifier.citationMirror Symmetry for Nonabelian Landau-Ginzburg Models. Nathan Priddis, Joseph Ward and Matthew M. Williams. SIGMA 16 (2020), 059, 31 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2020.059
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 14J32; 53D45; 14J81
dc.identifier.otherarXiv:1812.06200
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210691
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleMirror Symmetry for Nonabelian Landau-Ginzburg Models
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2020, том 16, випуск за цей рік