Half-integrable modules over algebras of twisted chiral differential operators
Representation Theory
2010-10-20 v1 Quantum Algebra
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.
Cite
@article{arxiv.1010.3776,
title = {Half-integrable modules over algebras of twisted chiral differential operators},
author = {Dmytro Chebotarov},
journal= {arXiv preprint arXiv:1010.3776},
year = {2010}
}
Comments
16 pages