Description
We propose a construction of the Coulomb branch (as an affine singular symplectic variety) of a 3d N=4 gauge theory corresponding to a choice of a connected reductive group G and a symplectic
finite-dimensional representation M of G, satisfying certain anomaly cancellation condition. This extends previous work of Braverman, Finkelberg and Nakajima (which dealt with the case when M was the cotangent bundle of another representation).
We shall discuss the relation of our construction with conjectures of Ben-Zvi, Sakellaridis and Venkatesh.
