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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

classification hep-th
keywords mirrorsymmetryformmathcaltheoriespairsquiveraspects
verification ladder T0 review T1 audit T2 compute T3 formal
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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 8 Pith papers

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

  1. Half-Spacetime Gauging of 2-Group Symmetry in 3d

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Constructs non-invertible duality defects in (2+1)d QFTs from half-spacetime gauging of 2-group symmetries and derives explicit fusion rules with examples in U(1)^3 gauge theories.

  2. Half-Spacetime Gauging of 2-Group Symmetry in 3d

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Half-spacetime gauging of 2-group symmetries in (2+1)d QFTs produces non-invertible duality defects whose fusion rules are derived explicitly from parent theories with mixed anomalies.

  3. Orthosymplectic Chern-Simons Matter Theories: Global Forms, Dualities, and Vacua

    hep-th 2025-09 conditional novelty 7.0 of 10

    A magnetic quiver framework is introduced to extract maximal branches and global forms of 3d orthosymplectic Chern-Simons matter theories from brane configurations, with global data fixed via indices and Hilbert series.

  4. Universal Planar Abelian Duals for 3d $\mathcal{N}=2$ Symplectic CS-SQCD

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    New dualities are proposed between 3d N=2 USp(2N) CS-SQCD and Abelian planar quivers, obtained via real-mass deformations of N=4 mirrors and supported by matching partition functions, indices, and operator spectra.

  5. Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    The sphere partition function of 3d N=4 Chern-Simons-matter theories is conjectured to equal a sum of twisted traces on Verma modules over the quantization of their moduli spaces of vacua, extending prior work and rev...

  6. Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Sphere partition functions of 3d N=4 Chern-Simons-matter theories are conjectured to equal sums of twisted traces on Verma modules over quantized moduli stacks of vacua.

  7. 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.

  8. Lectures on Generalized Symmetries

    hep-th 2023-07 unverdicted novelty 1.0 of 10

    Lecture notes that systematically introduce higher-form symmetries, SymTFTs, higher-group symmetries, and related concepts in QFT using gauge theory examples.

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