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paper

Virasoro action on Imaginary Verma modules and the operator form of the KZ-equation

arXiv:1112.5361 · doi:10.1007/s11005-012-0580-7

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.