Quiver gauge theories and symplectic singularities

Braverman, Finkelberg and Nakajima have recently given a mathematical construction of the Coulomb branches for large class 3d N=4 gauge theories, as algebraic varieties with Poisson structure. They conjecture that these symplectic singularities. We confirm this all quiver theories without loops or multiple edges, which in particular implies corresponding finitely many leaves rational Gorenstein also give criterion proving any branch has singularities, discuss possible extension our results to quivers and/or edges.