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On correlation functions of Drinfeld currents and shuffle algebras

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arxiv math/9809036 v1 pith:JTGUG5JC 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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quiver Yangians as Coulomb branch algebras

    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.

  2. Serre Relations in Yangian Doubles

    math-ph 2026-06 unverdicted novelty 5.0

    Serre relations in Yangian doubles are reformulated as quadratic commutation relations between composed currents for classical Lie algebras.