Higgs branches of U/SU quivers via brane locking

Higgs branches of U/SU quivers via brane locking

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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 oliver peoples forman r the concept of magnetic quivers, where components of H $$ mathcal{H} $$ 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 brane web for an auxiliary 5d theory (with only special unitary gauge groups), constrained by a new notion called brane locking, spl 2control 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.