Generalized Calabi-Yau manifolds and the chiral de Rham complex

Reimundo Heluani*, Maxim Zabzine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1815-1844
Number of pages30
JournalAdvances in Mathematics
Issue number5
StatePublished - Mar 20 2010


  • Chiral de Rham
  • Generalized Calabi-Yau
  • Generalized complex
  • Supersymmetry
  • Vertex algebra

ASJC Scopus subject areas

  • Mathematics(all)


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