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arxiv: 1502.01093 · v1 · pith:BJQDLHSCnew · submitted 2015-02-04 · 🧮 math.RT · math-ph· math.AG· math.MP· math.QA

Quiver varieties and quantum Knizhnik--Zamolodchikov equation

classification 🧮 math.RT math-phmath.AGmath.MPmath.QA
keywords equationknizhnik--zamolodchikovquantumquivervarietiescasescentrallydoubles
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We show how equivariant volumes of tensor product quiver varieties of type A are given by matrix elements of vertex operators of centrally extended doubles of Yangians, and how they satisfy in some cases the rational, level 1, quantum Knizhnik--Zamolodchikov equation.

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