English

Generalized Calabi-Yau manifolds and the chiral de Rham complex

Quantum Algebra 2010-06-16 v2 High Energy Physics - Theory Differential Geometry

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.

Keywords

Cite

@article{arxiv.0812.4855,
  title  = {Generalized Calabi-Yau manifolds and the chiral de Rham complex},
  author = {Reimundo Heluani and Maxim Zabzine},
  journal= {arXiv preprint arXiv:0812.4855},
  year   = {2010}
}

Comments

25 pages

R2 v1 2026-06-21T11:56:12.885Z