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arxiv: 1512.01084 · v2 · pith:DEPDLKJOnew · submitted 2015-12-03 · ✦ hep-th

The integral representation of solutions of KZ equation and a modification by mathcal{K} operator insertion

classification ✦ hep-th
keywords integralalgebrabosondeformedinsertionlimitmathcaloperator
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A root of unity limit of the $q$-deformed Virasoro algebra is considered. The $\widehat{sl}(2)_k$ current algebra and the integral formulas of the solutions of the KZ equations can be realized by the $q$-deformed boson at the limit and an additional boson. We explicitly construct the integral representation of the four-point blocks with a $\mathcal{K}$-operator insertion.

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