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We prove a number of results on the structure and representation theory ofthe rational Cherednik algebra of the imprimitive reflection group$G(\ell,p,n)$. In particular, we: (1) show a relationship to the Coulomb branchconstruction of Braverman, Finkelberg and Nakajima, and 3-dimensional quantumfield theory; (2) show that the spherical Cherednik algebra carries thestructure of a principal Galois order; (3) construct a graded lift of category$\mathcal{O}$ and the larger category of Dunkl-Opdam modules, whose simplemodules have the properties of a dual canonical basis and (4) give the firstclassification of simple Dunkl-Opdam modules for the rational Cherednik algebraof the imprimitive reflection group $G(\ell,p,n)$.

Rational Cherednik algebras of $G(\ell,p,n)$ from the Coulomb perspective