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Comments on 3d Seiberg-like dualities

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arxiv 1108.5373 v4 pith:YW7HFSG7 submitted 2011-08-26 hep-th

classification hep-th
keywords dualitiesseiberg-likechern-simonsdualityfunctionsgaugeglobalgroups
verification ladder T0 review T1 audit T2 compute T3 formal
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We study Seiberg-like dualities in three dimensional N=2 supersymmetric theories, emphasizing Chern-Simons terms for the global symmetry group, which affect contact terms in two-point functions of global currents and are essential to the duality map. We introduce new Seiberg-like dualities for Yang-Mills-Chern-Simons theories with unitary gauge groups with arbitrary numbers of matter fields in the fundamental and antifundamental representations. These dualities are derived from Aharony duality by real mass deformations. They allow to initiate the systematic study of Seiberg-like dualities in Chern-Simons quivers. We also comment on known Seiberg-like dualities for symplectic and orthogonal gauge groups and extend the latter to the Yang-Mills case. We check our proposals by showing that the localized partition functions on the squashed S^3 match between dual descriptions.

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Cited by 5 Pith papers

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

  1. Half-BPS Boundaries and the RG-Wall of $\mathcal{N}=2$ $SU(N)$ SYM

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    A proposed 4d quiver theory E[USp(2Q)] is claimed to encode torus compactifications of rank-Q E-string theory, with emergent USp(2Q)xUSp(2Q)xU(1)^2 symmetry supported by index and anomaly checks.

  3. Overlooking 3d dualities from mezzanines and balconies

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    New 3d dualities are obtained by T-duality reduction of 4d mezzanine and balcony models, with partition function matching after double scaling limit and a proof of required confining dualities via tensor deconfinement.

  4. Mass-deformed $\mathcal{N} = 3$ Supersymmetric Chern-Simons-Matter Theory

    hep-th 2019-08 conditional novelty 6.0 of 10

    The authors construct the unique mass-deformed N=3 U(N) Chern-Simons-Matter action and express it in N=1 superspace.

  5. Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review

    hep-th 2019-08 conditional

    A review of 3D N=2 supersymmetric localization showing that partition functions on Seifert manifolds reduce to sums over Bethe vacua.

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