%0 Journal Article
%T Irregular Wakimoto modules and the Casimir connection
%A Roman M. Fedorov
%J Mathematics
%D 2008
%I arXiv
%R 10.1007/s00029-010-0019-x
%X We study some non-highest weight modules over an affine Kac-Moody algebra at non-critical level. Roughly speaking, these modules are non-commutative localizations of some non-highest weight "vacuum" modules. Using free field realization, we embed some rings of differential operators in endomorphism rings of our modules. These rings of differential operators act on a localization of the space of coinvariants of any module over the Kac-Moody algebra with respect to a certain level subalgebra. In a particular case this action is identified with the Casimir connection.
%U http://arxiv.org/abs/0812.4472v3