Modules Over a Chiral Algebra
Algebraic Geometry
2010-10-12 v1 Representation Theory
Abstract
Given a chiral algebra, we study modules over an arbitrary power of a curve. We describe this category in three different ways: in terms of factorization, in terms of certain chiral operations and as modules for a lie algebra in a certain tensor category. In addition, we consider analogous questions for LIe-* algebras and factorization spaces. For factorization spaces, we give a construction of multijets in terms of a certain Weil restriction which lets us characterize counital factorizable algebraic stacks as multijets.
Cite
@article{arxiv.1010.1998,
title = {Modules Over a Chiral Algebra},
author = {N. Rozenblyum},
journal= {arXiv preprint arXiv:1010.1998},
year = {2010}
}