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  Multiplicative slices, relativistic Toda and shifted quantum affine algebras

Finkelberg, M., & Tsymbaliuk, A. (2019). Multiplicative slices, relativistic Toda and shifted quantum affine algebras. In Representations and Nilpotent Orbits of Lie Algebraic Systems (pp. 133-304). Cham: Birkhäuser.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0005-0CE7-A Version Permalink: https://hdl.handle.net/21.11116/0000-0005-0CE8-9
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 Creators:
Finkelberg, Michael, Author
Tsymbaliuk, Alexander1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Representation Theory, Mathematical Physics, Algebraic Geometry, Quantum Algebra
 Abstract: We introduce the shifted quantum affine algebras. They map homomorphically into the quantized $K$-theoretic Coulomb branches of $3d\ {\mathcal N}=4$ 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 $A_1$, they are closely related to the open relativistic quantum Toda lattice of type $A$.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 172
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 Rev. Type: Peer
 Identifiers: arXiv: 1708.01795
DOI: 10.1007/978-3-030-23531-4
URI: http://arxiv.org/abs/1708.01795
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Title: Representations and Nilpotent Orbits of Lie Algebraic Systems
  Subtitle : in honour of the 75th birthday of Tony Joseph
Source Genre: Collected Edition
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Publ. Info: Cham : Birkhäuser
Pages: XVII, 553 Volume / Issue: - Sequence Number: - Start / End Page: 133 - 304 Identifier: ISBN: 978-3-030-23531-4
ISBN: 978-3-030-23530-7
DOI: 10.1007/978-3-030-23531-4

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Title: Progress in Mathematics
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Pages: - Volume / Issue: 330 Sequence Number: - Start / End Page: - Identifier: -