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

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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Bibliographic Details
Published in:	Advances in mathematics (New York. 1965) Vol. 230; no. 2; pp. 531 - 551
Main Authors:	Borisov, Lev A., Kaufmann, Ralph M.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01-06-2012
Subjects:	Chiral de Rham complex Nonlinear sigma model Quintic Toric varieties Vertex algebra Chiral de Rham complex Nonlinear sigma model Vertex algebra Toric varieties Quintic
Online Access:	Get full text
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Summary:	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.
ISSN:	0001-8708 1090-2082
DOI:	10.1016/j.aim.2012.02.024