Mirror Symmetry for Nonabelian Landau-Ginzburg Models
arXiv:1812.06200 · doi:10.3842/SIGMA.2020.059
Abstract
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 , 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.
arXiv commentv3 fixes some errors in v2. Altogether 29 pages, 7 tables
References in corpus (15)
- A Generalized Construction of Mirror Manifolds
- FJRW rings and Landau-Ginzburg Mirror Symmetry
- Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations
- On the Classification of Quasihomogeneous Functions
- Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence
- A Mathematical Theory of the Gauged Linear Sigma Model
- Landau-Ginzburg Orbifolds, Mirror Symmetry and the Elliptic Genus
- A Landau--Ginzburg mirror theorem without concavity
- Landau-Ginzburg Mirror Symmetry Conjecture
- Nonabelian Landau-Ginzburg orbifolds and Calabi-Yau/Landau-Ginzburg correspondence
- Dual Invertible Polynomials with Permutation Symmetries and the Orbifold Euler Characteristic
- The Berglund-Hübsch-Chiodo-Ruan mirror symmetry for K3 surfaces
- A Brief Survey of FJRW Theory
- Borcea-Voisin Mirror Symmetry for Landau-Ginzburg models
- A version of the Berglund-Hübsch-Henningson duality with non-abelian groups