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arXiv · 1112.5361

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

Ben Cox·Vyacheslav Futorny·Renato Martins
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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.

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Ben Cox, Vyacheslav Futorny, Renato Martins. 2011-12-22. Virasoro action on Imaginary Verma modules and the operator form of the KZ-equation. https://doi.org/10.1007/s11005-012-0580-7

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