3d Deconfinement, Product gauge group, Seiberg-Witten and New 3d dualities

Abstract

We construct a three dimensional deconfinement method which enables us to find new three-dimensional dualities and we apply various techniques developed in four dimensional supersymmetric gauge theories, such as the product gauge groups and Seiberg-Witten curves to the three dimensional $\mathcal{N}=2$ supersymmetric gauge theories. Dual descriptions of three dimensional $\mathcal{N}=2$ supersymmetric gauge theories which involve two-index matters, for example, adjoint, symmetric, and anti-symmetric matters without superpotentials can be obtained. These matters are described in terms of s-confining phases of the supersymmetric gauge theories.

46 pages

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• 3d dualities from 4d dualities for orthogonal groups
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Cited by in corpus (11)

• Dualities from dualities: the sequential deconfinement technique
• The $SL(2,\mathbb{Z})$ dualization algorithm at work
• A toolkit for ortho-symplectic dualities
• Boundary confining dualities and Askey-Wilson type $q$-beta integrals
• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• 3d exceptional gauge theories and boundary confinement
• 3d s-confinement for three-index matters
• Exact results in 3d $\mathcal{N}=2$ $Spin(7)$ gauge theories with vector and spinor matters
• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories
• Confinement On the Moose Lattice
• Boundary lines and Askey-Wilson type moments