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arXiv · 2111.04745

Higgs Branches of U/SU Quivers via Brane Locking

Antoine Bourget·Julius F. Grimminger·Amihay Hanany·Rudolph Kalveks·Zhenghao Zhong
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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.

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Antoine Bourget, Julius F. Grimminger, Amihay Hanany, Rudolph Kalveks, Zhenghao Zhong. 2021-11-08. Higgs Branches of U/SU Quivers via Brane Locking. https://doi.org/10.1007/jhep08(2022)061

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