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arxiv: 1112.5361 · v1 · submitted 2011-12-22 · 🧮 math.RT · math-ph· math.MP

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

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classification 🧮 math.RT math-phmath.MP
keywords imaginarymodulesvermaactionformoperatorvirasoroaffine
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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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