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Comultiplication for shifted Yangians and quantum open Toda lattice

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arxiv 1608.03331 v4 pith:I3A32OIO submitted 2016-08-11 math.RT math.AGmath.QA

Michael Finkelberg , Joel Kamnitzer , Khoa Pham , Leonid Rybnikov , Alex Weekes This is my paper · ORCID
classification math.RTmath.AGmath.QA
keywords shiftedcoproductlatticeopenquantumtodayangiansalgebra
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We study a coproduct in type A quantum open Toda lattice in terms of a coproduct in the shifted Yangian of sl_2. At the classical level this corresponds to the multiplication of scattering matrices of euclidean SU(2) monopoles. We also study coproducts for shifted Yangians for any simply-laced Lie algebra.

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  1. Nonabelian shift operators and shifted Yangians

    math.AG 2024-12 conditional novelty 6.0 of 10

    New nonabelian shift operators and wall-crossing identities show that the quantized Coulomb branch of pure GL_n gauge theory is a quotient of the shifted Yangian Y_{-nα}(sl2), with vertex functions as Hecke eigenfunctions.

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