Half-integrable modules over algebras of twisted chiral differential operators

Abstract

A module M over a vertex algebra V is half-integrable if a_n act locally nilpotently on M for all a in V, m in M, n>0. We study half-integrable modules over sheaves of twisted chiral differential operators (TCDO) on a smooth variety X. We prove an equivalence between certain categories of half-integrable modules over TCDO and categories of (twisted) D-modules on X.

16 pages

References in corpus (3)

• Formal loops IV: Chiral differential operators
• Algebras of twisted chiral differential operators and affine localization of $\mathfrak{g}$-modules
• Classification of transitive vertex algebroids