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Factorised 3d $\mathcal{N}=4$ orthosymplectic quivers

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arxiv 2101.12235 v3 pith:CRHSIRV6 submitted 2021-01-28 hep-th

classification hep-th
keywords quiversorthosymplecticgaugemathcalseriestheoriesunitarycoulomb
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the moduli space of 3d $\mathcal{N}=4$ quiver gauge theories with unitary, orthogonal and symplectic gauge nodes, that fall into exceptional sequences. We find that both the Higgs and Coulomb branches of the moduli space factorise into decoupled sectors. Each decoupled sector is described by a single quiver gauge theory with only unitary gauge nodes. The orthosymplectic quivers serve as magnetic quivers for 5d $\mathcal{N}=1$ superconformal field theories which can be engineered in type IIB string theories both with and without an O5 plane. We use this point of view to postulate the dual pairs of unitary and orthosymplectic quivers by deriving them as magnetic quivers of the 5d theory. We use this correspondence to conjecture exact highest weight generating functions for the Coulomb branch Hilbert series of the orthosymplectic quivers, and provide tests of these results by directly computing the Hilbert series for the orthosymplectic quivers in a series expansion.

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Forward citations

Cited by 4 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 Pathway to Decay and Fission of Orthosymplectic Quiver Theories

    hep-th 2024-12 conditional novelty 6.0 of 10

    An orthosymplectic extension of the Decay and Fission algorithm is proposed, validated on class S and 6d orbi-instanton quivers, and used to predict new Higgs branch RG flows.

  3. 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.

  4. 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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