Mirror Symmetry for Nonabelian Landau-Ginzburg Models
We 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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210691 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Mirror Symmetry for Nonabelian Landau-Ginzburg Models. Nathan Priddis, Joseph Ward and Matthew M. Williams. SIGMA 16 (2020), 059, 31 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We 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.
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| ISSN: | 1815-0659 |