On 3d Seiberg-like Dualities with Two Adjoints

Abstract

We study $N=2$ 3-d theories with two adjoints and fundamental flavors along with D-type superpotential. For superpotential $W_{D_{n+2}}=\mathrm{Tr}\left(X^{n+1}+X{Y}^2\right)$ with $n$ odd, we propose the 3d dualities, which we motivate from the dimensional reduction of the related 4-d theory. We consider the factorization of the superconformal index and match precisely the vortex partition function of the dual pairs. In the language of the Higgs branch localization, the nonzero contribution of the vortex partition function comes from the discrete Higgs vacua of the massively deformed theory, which precisely matches with that of the dual theory. We also clarify the monopole operators parametrizing the Coulomb branch of such theories. Existence of independent monopole operators of charge 2 is crucial to describe the Coulomb branch.

70 pages

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Cited by in corpus (13)

• Universal 3d Cardy Block and Black Hole Entropy
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• The $SL(2,\mathbb{Z})$ dualization algorithm at work
• Twisted indices, Bethe ideals and 3d $\mathcal{N}=2$ infrared dualities
• 3d "chiral" Kutasov-Schwimmer duality
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N}=2$ gauge theories with boundaries
• Branes, partition functions and quadratic monopole superpotentials
• Boundary confining dualities and Askey-Wilson type $q$-beta integrals
• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• Webs of 3d $\mathcal{N}=2$ dualities with D-type superpotentials
• Chiral dualities for SQCD${}_3$ with D-type superpotential
• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories