English

On CY-LG correspondence for (0,2) toric models

Algebraic Geometry 2012-03-01 v2

Abstract

We conjecture a description of the vertex (chiral) algebras of the (0,2) nonlinear sigma models on smooth quintic threefolds. We provide evidence in favor of the conjecture by connecting our algebras to the cohomology of a twisted chiral de Rham sheaf. We discuss CY/LG correspondence in this setting.

Cite

@article{arxiv.1102.5444,
  title  = {On CY-LG correspondence for (0,2) toric models},
  author = {Lev A. Borisov and Ralph M. Kaufmann},
  journal= {arXiv preprint arXiv:1102.5444},
  year   = {2012}
}

Comments

25 pages, reference added, typos corrected, to be published in Advances in Mathematics

R2 v1 2026-06-21T17:32:26.524Z