Quivers with Involutions and Shifted affine $\mathrm{i}$Quantum groups via Coulomb Branches

Source abstract

We give a formula for quasi-minuscule monopole operators in $K$-theoretic quantized Coulomb branch algebras of cotangent type. We then study signed quivers with involutions, with orthogonal or symplectic gauge factors at the involution-fixed vertices. We construct a GKLO-type homomorphism from the corresponding shifted affine $\mathrm{i}$quantum group to an algebra of $q$-difference operators and prove that it factors through the quantized Coulomb branch algebra. These homomorphisms give geometric realizations of the shifted affine $\mathrm{i}$quantum groups in terms of dressed minuscule and quasi-minuscule monopole operators.