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SUSY vertex algebras and supercurves

Reimundo Heluani
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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 V_X 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 V_X, corresponding to a SUSY vertex algebra, carries the structure of a chiral algebra.

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Reimundo Heluani. 2006-03-27. SUSY vertex algebras and supercurves. https://doi.org/10.1007/s00220-007-0325-0

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