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Sequential deconfinement and self-dualities in $4d$ $\mathcal{N}\!=\!1$ gauge theories

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arxiv 2206.11364 v2 pith:XBQXQV47 submitted 2022-06-22 hep-th

Stephane Bajeot , Sergio Benvenuti This is my paper · ORCID
classification hep-th
keywords deconfinedgaugemathcaltheoriesantisymmetricdeconfinementfieldframe
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abstract

We apply the technique of sequential deconfinement to the four dimensional $\mathcal{N}\!=\!1$ $Usp(2N)$ gauge theory with an antisymmetric field and $2F$ fundamentals. The fully deconfined frame is a length-$N$ quiver. We use this deconfined frame to prove the known self-duality of $Usp(2N)$ with an antisymmetric field and $8$ fundamentals. Along the way we encounter a subtlety: in certain quivers with degenerate holomorphic operators, a naive application of Seiberg duality rules leads to an incorrect superpotential or chiral ring. We also consider the reduction to $3d$ $\mathcal{N}\!=\!2$ theories, recovering known fully deconfined duals of $Usp(2N)$ and $U(N)$ gauge theories, and obtaining new ones.

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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. Rank-two tensors and deconfinement in 3d $\mathcal{N}=2$ $SU(N)$ gauge theories

    hep-th 2025-04 conditional novelty 7.0 of 10

    The authors derive confining dualities for 3d SU(N) theories with two antisymmetric tensors (nf+na=4) and for symmetric-tensor theories with monopole superpotentials, using tensor deconfinement and duplication identities.

  2. Boundary lines and Askey-Wilson type moments

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Wilson line defect half-indices for 3d N=2 theories with confining boundaries are exactly Askey-Wilson type moments, obtained via dual vortex defects and effective spin shifts in the index computation.

  3. Six Easy Pieces: interplays among dualities in 4d, 3d and 2d

    hep-th 2025-12 conditional novelty 6.0 of 10

    Baryon-deformed SU(N) gauge theory with an antisymmetric tensor is shown to flow to a free magnetic phase, and its reductions yield new 3d SU/SO and 2d SU/USp dualities.

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