Virasoro action on Imaginary Verma modules and the operator form of the KZ-equation
Ben Cox, Vyacheslav Futorny, Renato Martins
TL;DR
This paper introduces a Virasoro algebra action on imaginary Verma modules for affine sl(2) and develops an operator form of the KZ-equation, utilizing free field realizations.
Contribution
It provides a novel construction of Virasoro action and KZ-equation analogs for imaginary Verma modules using free field methods.
Findings
Virasoro action defined on imaginary Verma modules
Operator form of KZ-equation constructed
Results based on free field realization
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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