Mirror Symmetry for Nonabelian Landau-Ginzburg Models
| Autor: | Joseph Ward, Matthew M. Williams, Nathan Priddis |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Fermat's Last Theorem
Pure mathematics 010308 nuclear & particles physics Group (mathematics) 010102 general mathematics Diagonal 14N35 53D37 Type (model theory) 01 natural sciences Mathematics - Algebraic Geometry 0103 physical sciences Homogeneous space FOS: Mathematics Calabi–Yau manifold Geometry and Topology Isomorphism 0101 mathematics Mirror symmetry Algebraic Geometry (math.AG) Mathematical Physics Analysis Mathematics |
| Popis: | 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 $G^\star$, 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., we prove that this mirror map is an isomorphism between the untwisted broad sectors and the narrow diagonal sectors for Fermat type polynomials. v3 fixes some errors in v2. Altogether 29 pages, 7 tables |
| Databáze: | OpenAIRE |
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