Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893636 | Journal of Geometry and Physics | 2012 | 20 Pages |
Abstract
We construct a sheaf of N=2N=2 vertex algebras naturally associated to any Poisson manifold. The relation of this sheaf to the chiral de Rham complex is discussed. We reprove the result about the existence of two commuting N=2N=2 superconformal structures on the space of sections of the chiral de Rham complex of a Calabi–Yau manifold, but now calculated in a manifest N=2N=2 formalism. We discuss how the semi-classical limit of this sheaf of N=2N=2 vertex algebras is related to the classical supersymmetric non-linear sigma model.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Joel Ekstrand, Reimundo Heluani, Maxim Zabzine,