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Generalized Calabi-Yau manifolds and the chiral de Rham complex

arXiv:0812.4855 · doi:10.1016/j.aim.2009.10.007

Abstract

We show that the chiral de Rham complex of a generalized Calabi-Yau manifold carries N=2 supersymmetry. We discuss the corresponding topological twist for this N=2 algebra. We interpret this as an algebroid version of the super-Sugawara or Kac-Todorov construction.

25 pages