Formal vertex laws associated to Lie conformal algebras
arXiv:2004.02991 · doi:10.1063/5.0092155
Abstract
We introduce several definitions within the framework of vertex and conformal algebras which are analogous to some important concepts of the classical Lie theory. Most importantly, we define formal vertex laws, which correspond to the notion of formal group law. We prove suitable vertex/conformal versions of a number of classical results such as the Milnor-Moore theorem, Cartier duality, and the equivalence between formal group laws and Lie algebras.
21 pages, published version. Removed sections 7 and 8 of the first version, which were reworked in terms of algebraic geometry in a new article, also submitted today