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Working paper

Comultiplication for shifted Yangians and quantum open Toda lattice

Series math "arxiv.org". arXiv:1608.03331. Cornell University, 2016
Rybnikov L. G., Finkelberg M. V., Kamnitzer J., Weekes A., Pham K.
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.