English

Comultiplication for shifted Yangians and quantum open Toda lattice

Representation Theory 2017-06-30 v4 Algebraic Geometry Quantum Algebra

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.

Keywords

Cite

@article{arxiv.1608.03331,
  title  = {Comultiplication for shifted Yangians and quantum open Toda lattice},
  author = {Michael Finkelberg and Joel Kamnitzer and Khoa Pham and Leonid Rybnikov and Alex Weekes},
  journal= {arXiv preprint arXiv:1608.03331},
  year   = {2017}
}

Comments

To David Kazhdan on his 70th birthday, with admiration. Final version to appear in Advances in Mathematics