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

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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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