Borcea–Voisin mirror symmetry for Landau–Ginzburg models
| Autor: | Nathan Priddis, Andrew Schaug, Amanda Francis |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
Pure mathematics 14J32 Algebraic structure 14J33 14J32 53D45 General Mathematics 14J33 FOS: Physical sciences 01 natural sciences Enumerative geometry Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Morphism 0103 physical sciences FOS: Mathematics 0101 mathematics Algebraic Geometry (math.AG) 14J28 Mathematics::Symplectic Geometry Mathematical Physics Mathematics 51P05 Conjecture 010102 general mathematics Mathematical Physics (math-ph) High Energy Physics - Theory (hep-th) 010307 mathematical physics Mirror symmetry 14N35 |
| Zdroj: | Illinois J. Math. 63, no. 3 (2019), 425-461 |
| ISSN: | 0019-2082 |
| Popis: | 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. 28 pages; in Version 2, we have reordered the sections regarding geometry and the Frobenius algebra isomorphism. In order to avoid confusion with supercommutativity issues in FJRW theory, we restrict considerations on the Frobenius algebra to only even classes. Version 3 has corrected one reference. This article has been accepted to the Illinois Journal of Mathematics |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|