SUSY vertex algebras and supercurves

Details SUSY vertex algebras and supercurves SUSY vertex algebras and supercurves

2006-03-27

arxiv.org/abs/math/0603591v1

Commun.Math.Phys.275:607-658,2007

Mathematics

Quantum Algebra

50 pages

Scientific paper

10.1007/s00220-007-0325-0

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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