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This is the second companion paper of arXiv:1601.03586. We consider themorphism from the variety of triples introduced in arXiv:1601.03586 to theaffine Grassmannian. The direct image of the dualizing complex is a ring objectin the equivariant derived category on the affine Grassmannian (equivariantderived Satake category). We show that various constructions inarXiv:1601.03586 work for an arbitrary commutative ring object.  The second purpose of this paper is to study Coulomb branches associated withstar shaped quivers, which are expected to be conjectural Higgs branches of$3d$ Sicilian theories in type $A$ by arXiv:1007.0992.

Ring objects in the equivariant derived Satake category arising from Coulomb branches (with an appendix by Gus Lonergan)