Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras

Michael Finkelberg, Alexander Tsymbaliuk

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

7 Citations (Scopus)


We introduce the shifted quantum affine algebras. They map homomorphically into the quantized K-theoretic Coulomb branches of 3dN=4 SUSY quiver gauge theories. In type A, they are endowed with a coproduct, and they act on the equivariant K-theory of parabolic Laumon spaces. In type A1, they are closely related to the type A open relativistic quantum Toda system.

Original languageEnglish
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Number of pages172
Publication statusPublished - 2019

Publication series

NameProgress in Mathematics
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X


  • 17B37
  • 81R10
  • 81T13


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