Virasoro action on Imaginary Verma modules and the operator form of the KZ-equation
Representation Theory
2015-06-03 v1 Mathematical Physics
math.MP
Abstract
We define the Virasoro algebra action on imaginary Verma modules for affine sl(2) and construct the analogs of Knizhnik-Zamolodchikov equation in the operator form. Both these results are based on a free field realization of imaginary Verma modules.
Keywords
Cite
@article{arxiv.1112.5361,
title = {Virasoro action on Imaginary Verma modules and the operator form of the KZ-equation},
author = {Ben Cox and Vyacheslav Futorny and Renato Martins},
journal= {arXiv preprint arXiv:1112.5361},
year = {2015}
}