Comultiplication for shifted Yangians and quantum open Toda lattice
Michael Finkelberg, Joel Kamnitzer, Khoa Pham, Leonid Rybnikov, Alex, Weekes
TL;DR
This paper explores the coproduct structure in the quantum open Toda lattice and shifted Yangians, linking algebraic operations to physical scattering matrices and extending the framework to all simply-laced Lie algebras.
Contribution
It introduces a coproduct in the quantum open Toda lattice via shifted Yangians and generalizes coproducts to all simply-laced Lie algebras.
Findings
Coproduct in type A quantum open Toda lattice linked to shifted Yangian coproducts.
Classical scattering matrices of SU(2) monopoles correspond to algebraic multiplication.
Extension of coproduct structures to all simply-laced Lie algebras.
Abstract
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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