On CY-LG correspondence for (0,2) toric models
Lev A. Borisov, Ralph M. Kaufmann
TL;DR
This paper conjectures a description of vertex algebras for (0,2) sigma models on quintic threefolds, linking them to twisted chiral de Rham cohomology and exploring CY/LG correspondence.
Contribution
It introduces a new conjecture relating (0,2) sigma model vertex algebras to twisted chiral de Rham sheaves and discusses their CY/LG correspondence.
Findings
Evidence supports the conjecture connecting vertex algebras to twisted chiral de Rham cohomology.
The paper discusses implications for CY/LG correspondence in (0,2) models.
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Black Holes and Theoretical Physics · Nonlinear Waves and Solitons