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Higgs Branches of U/SU Quivers via Brane Locking

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arxiv 2111.04745 v1 pith:4ZRISNWO submitted 2021-11-08 hep-th

Antoine Bourget , Julius F. Grimminger , Amihay Hanany , Rudolph Kalveks , Zhenghao Zhong This is my paper · ORCID
classification hep-th
keywords mathcalquiversbranemagneticunitarybranchesgaugehiggs
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Bootstrapping mirror pairs: The beginning of the end

    hep-th 2025-10 conditional novelty 6.0 of 10

    A growth-and-fusion algorithm completes a quartet of quiver operations that bootstrap 3d mirror pairs, demonstrated on a new family of circular 'sunshine' quivers.

  2. A Bound on 3d Mirror Pairs

    hep-th 2024-11 conditional novelty 6.0 of 10

    New 3d mirror pairs are proposed for ABCD-type quivers with mixed U/SU nodes, and it is conjectured that unitary quivers containing exceptional affine Dynkin subquivers have no Lagrangian quiver mirror.

  3. An exceptionally simple family of Orthosymplectic 3d $\mathcal{N}=4$ rank-0 SCFTs

    hep-th 2024-11 conditional novelty 6.0 of 10

    A new family of 3d N=4 orthosymplectic quiver theories has trivial Higgs branches and non-trivial Coulomb branches; the smallest full moduli space is two copies of the one-F4 instanton moduli space.

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