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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics