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

Mathematics – Representation Theory

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Scientific paper

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.

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