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Multiplicative slices, relativistic Toda and shifted quantum affine algebras (1708.01795v6)
Published 5 Aug 2017 in math.RT, math-ph, math.AG, math.MP, and math.QA
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 $A$.
