Comultiplication for shifted Yangians and quantum open Toda lattice

Michael Finkelberg; Joel Kamnitzer; Khoa Pham; Leonid Rybnikov; Alex Weekes

doi:10.1016/j.aim.2017.06.018

Comultiplication for shifted Yangians and quantum open Toda lattice

Michael Finkelberg^*
, Joel Kamnitzer
, Khoa Pham
, Leonid Rybnikov
, Alex Weekes

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

We study a coproduct in type A quantum open Toda lattice in terms of a coproduct in the shifted Yangian of sl₂. 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.

Original language	English
Pages (from-to)	349-389
Number of pages	41
Journal	Advances in Mathematics
Volume	327
DOIs	https://doi.org/10.1016/j.aim.2017.06.018
State	Published - 17 Mar 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Inc.

Keywords

Affine Grassmannian
Toda lattice
Yangians

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10.1016/j.aim.2017.06.018

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abstract = "We study a coproduct in type A quantum open Toda lattice in terms of a coproduct in the shifted Yangian of sl2. 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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AU - Pham, Khoa

AU - Rybnikov, Leonid

AU - Weekes, Alex

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AB - We study a coproduct in type A quantum open Toda lattice in terms of a coproduct in the shifted Yangian of sl2. 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.

KW - Affine Grassmannian

KW - Toda lattice

KW - Yangians

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Comultiplication for shifted Yangians and quantum open Toda lattice

Abstract

Bibliographical note

Keywords

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