Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras

Michael Finkelberg; Alexander Tsymbaliuk

doi:10.1007/978-3-030-23531-4_6

Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras

Michael Finkelberg^*
, Alexander Tsymbaliuk

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

40 Scopus citations

Abstract

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 language	English
Title of host publication	Progress in Mathematics
Publisher	Springer Basel
Pages	133-304
Number of pages	172
DOIs	https://doi.org/10.1007/978-3-030-23531-4_6
State	Published - 2019
Externally published	Yes

Publication series

Name	Progress in Mathematics
Volume	330
ISSN (Print)	0743-1643
ISSN (Electronic)	2296-505X

Bibliographical note

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

Keywords

17B37
81R10
81T13

Access to Document

10.1007/978-3-030-23531-4_6

Cite this

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KW - 81T13

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Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras

Abstract

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Keywords

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