Higgs Branches of U/SU Quivers via Brane Locking

Abstract

We solve a long standing problem on the computation of the Higgs branch $\mathcal{H}$ 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 $\mathcal{H}$ are described as 3d $\mathcal{N}=4$ Coulomb branches. When the starting quiver is good, there is a single component in $\mathcal{H}$ 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, 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 given, and implemented in a code available for download.

Mathematica code available for download

References in corpus (4)

• T^σ_ρ(G) Theories and Their Hilbert Series
• Branes and the Kraft-Procesi Transition
• Tri-vertices and SU(2)'s
• New aspects of Argyres--Douglas theories and their dimensional reduction

Cited by in corpus (10)

• Higgs, Coulomb, and Hall-Littlewood
• Higgs branch RG-flows via Decay and Fission
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• 3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Generalized Toric Polygons, T-branes, and 5d SCFTs
• Quotient Quiver Subtraction
• Complex Symplectic Contractions and 3d Mirrors
• Quiver Polymerisation
• FI-flows of 3d N=4 Theories