Generalized Calabi-Yau manifolds and the chiral de Rham complex

Details Generalized Calabi-Yau manifolds and the chiral de Rham complex Generalized Calabi-Yau manifolds and the chiral de Rham complex

2008-12-28

arxiv.org/abs/0812.4855v2

Adv.Math.223:1815-1844,2010

Mathematics

Quantum Algebra

25 pages

Scientific paper

10.1016/j.aim.2009.10.007

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.

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