Abstract We solve a long standing problem on the computation of the Higgs branch H $$ mathcal{H} $$ of linear quivers with 8 supercharges and with both unitary and special unitary gauge nodes.The solution uses the concept of magnetic quivers, where components of H $$ mathcal{H} $$ Decals are described as 3d N $$ mathcal{N} $$ = 4 Coulomb branches.When the starting quiver is good, there is a single component in H $$ mathcal{H} $$ and the magnetic quiver is a 3d mirror.
The magnetic quivers are obtained from studying the Door Hinge Bush brane web for an auxiliary 5d theory (with only special unitary gauge groups), constrained by a new notion called brane locking, where some branes are required to move together.We view this as a computational tool rather than an operation in 5d.A detailed algorithm is provided.