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arXiv · 1708.01795

Multiplicative slices, relativistic Toda and shifted quantum affine algebras

Michael Finkelberg·Alexander Tsymbaliuk
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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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BibTeXRIS

Michael Finkelberg, Alexander Tsymbaliuk. 2017-08-05. Multiplicative slices, relativistic Toda and shifted quantum affine algebras. https://doi.org/10.1007/978-3-030-23531-4

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