An isomorphism extension theorem for Landau-Ginzburg B-models

作者：Cordner Nathan^*

来源：Communications in Algebra, 2018, 46(8): 3591-3604.

DOI：10.1080/00927872.2018.1424872

• FJRW theory
• Landau-Ginzburg mirror symmetry
• 14B05
• 14J81

Landau-Ginzburg mirror symmetry studies isomorphisms between A- and B-models, which are graded Frobenius algebras that are constructed using a weighted homogeneous polynomial W and a related symmetry group G. Given two polynomials W-1, W-2 with the same weights and same group G, the corresponding A-models built with (W-1,G) and (W-2,G) are isomorphic. Though the same result cannot hold in full generality for B-models, which correspond to orbifolded Milnor rings, we provide a partial analogue. In particular, we exhibit conditions where isomorphisms between unorbifolded B-models (or Milnor rings) can extend to isomorphisms between their corresponding orbifolded B-models (or orbifolded Milnor rings).

• 出版日期2018