Borcea-Voisin Mirror Symmetry for Landau-Ginzburg models
Abstract
FJRW theory is a formulation of physical Landau-Ginzburg models with a rich algebraic structure, rooted in enumerative geometry. As a consequence of a major physical conjecture, called the Landau-Ginzburg/Calabi-Yau correspondence, several birational morphisms of Calabi-Yau orbifolds should correspond to isomorphisms in FJRW theory. In this paper it is shown that not only does this claim prove to be the case, but is a special case of a wider FJRW isomorphism theorem, which in turn allows for a proof of mirror symmetry for a new class of cases in the Landau-Ginzburg setting. We also obtain several interesting geometric applications regarding the Chen-Ruan cohomology of certain Calabi-Yau orbifolds.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2017
- DOI:
- 10.48550/arXiv.1708.05775
- arXiv:
- arXiv:1708.05775
- Bibcode:
- 2017arXiv170805775F
- Keywords:
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- Mathematics - Algebraic Geometry;
- High Energy Physics - Theory;
- Mathematical Physics;
- 14J33;
- 14J32;
- 53D45
- E-Print:
- 28 pages