Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras
We introduce the shifted quantum affine algebras. They map homomor-
phically into the quantized K-theoretic Coulomb branches of 3d 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 type A open relativistic quantum Toda system.