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On CY–LG correspondence for (0,2) toric models
Journal article   Open access  Peer reviewed

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

Lev A Borisov and Ralph M Kaufmann
Advances in mathematics (New York. 1965), Vol.230(2), pp.531-551
06/01/2012
DOI: https://doi.org/10.1016/j.aim.2012.02.024

Abstract

Chiral de Rham complex Nonlinear sigma model Quintic Toric varieties Vertex algebra
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.
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