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3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry

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arxiv 2301.02409 v2 pith:5KB46TO4 submitted 2023-01-06 hep-th

Satoshi Nawata , Marcus Sperling , Hao Ellery Wang , Zhenghao Zhong This is my paper · ORCID
classification hep-th
keywords mirrorsymmetryformmathcaltheoriespairsquiveraspects
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abstract

The study of 3d mirror symmetry has greatly enhanced our understanding of various aspects of 3d $\mathcal{N}=4$ theories. In this paper, starting with known mirror pairs of 3d $\mathcal{N}=4$ quiver gauge theories and gauging discrete subgroups of the flavour or topological symmetry, we construct new mirror pairs with non-trivial 1-form symmetry. By providing explicit quiver descriptions of these theories, we thoroughly specify their symmetries (0-form, 1-form, and 2-group) and the mirror maps between them.

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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. Classification of Minimal Abelian Coulomb Branches

    hep-th 2024-12 conditional novelty 7.0 of 10

    Abelian 3d N=4 quivers with isolated Coulomb branch singularities are exactly stable chains and well-defined cycles, with geometries given by U(1) or finite cyclic quotients.

  2. 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.

  3. 3d $\mathcal{N}=4$ Mirror Symmetry, TQFTs, and 't Hooft Anomaly Matching

    hep-th 2024-12 conditional novelty 6.0 of 10

    Universal mass deformations of 3d N=4 Abelian gauge theories flow to Abelian spin Chern-Simons TQFTs, with mirror symmetry descending to proven level-rank dualities and 't Hooft anomalies matched via vison fractionalization.

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