SUSY vertex algebras and supercurves
Reimundo Heluani
Abstract
This article is a continuation of math.QA/0603633 Given a strongly conformal SUSY vertex algebra V and a supercurve X we construct a vector bundle VX 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 VX, corresponding to a SUSY vertex algebra, carries the structure of a chiral algebra.
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