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arxiv: math/9809036 · v1 · submitted 1998-09-07 · 🧮 math.QA

On correlation functions of Drinfeld currents and shuffle algebras

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keywords currentsdrinfeldalgebraalgebrasconditionscorrelationfunctionsquantum
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We express the vanishing conditions satisfied by the correlation functions of Drinfeld currents of quantum affine algebras, imposed by the quantum Serre relations. We discuss the relation of these vanishing conditions with a shuffle algebra description of the algebra of Drinfeld currents.

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    hep-th 2025-02 unverdicted novelty 6.0

    Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.