Supersymmetry of the chiral de Rham complex 2: Commuting sectors

Reimundo Heluani*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We construct two commuting N = 2 structures on the space of sections of the chiral de Rham complex (CDR) of a Calabi-Yau manifold. We use this extra supersymmetry to construct a nonlinear automorphism of CDR preserving these N = 2 structures. Finally, we show how to extend these results to construct a commuting pair of N = 4 super vertex algebras in the HyperKähler case.

Original languageEnglish (US)
Pages (from-to)953-987
Number of pages35
JournalInternational Mathematics Research Notices
Issue number6
StatePublished - 2009

ASJC Scopus subject areas

  • Mathematics(all)


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