This article is cited in 15 papers

Vertex algebras and the Landau–Ginzburg/Calabi–Yau correspondence

V. G. Gorbunov^a, F. G. Malikov<sup>b

a</sup> University of Kentucky
^b University of Southern California

Abstract: We construct a spectral sequence that converges to the cohomology of the chiral de Rham complex over a Calabi–Yau hypersurface and whose first term is a vertex algebra closely related to the Landau–Ginzburg orbifold. As an application, we prove an explicit orbifold formula for the elliptic genus of Calabi–Yau hypersurfaces.

Key words and phrases: Vertex algebra, chiral rings, polyvector fields, spectral sequence, orbifold.

MSC: 14M25, 14F05, 17B65, 17B69, 17B81, 81T20, 55N34

Received: August 29, 2003

Language: English

DOI: 10.17323/1609-4514-2004-4-3-729-779

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