2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/183316This 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.50 pagesQuantum AlgebraMathematical PhysicsAlgebraic GeometrySUSY vertex algebras and supercurvestext