SUSY vertex algebras and supercurves

Reimundo Heluani*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Given a strongly conformal SUSY vertex algebra V and a supercurve X, we construct a vector bundle script V signrX on X, the fiber of which is isomorphic to V. Moreover, the state-field correspondence of V canonically gives rise to (local) sections of these vector bundles. We also define chiral algebras on any supercurve X, and show that the vector bundle script V signrX , corresponding to a SUSY vertex algebra, carries the structure of a chiral algebra.

Original languageEnglish (US)
Pages (from-to)607-658
Number of pages52
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - Nov 2007

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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