A tale of exceptional 3d dualities

Abstract

We consider interesting Seiberg dualities for $Usp$ gauge theories with an antisymmetric, $8$ fundamentals and no superpotential. We reduce to three dimensions and systematically analyze deformations triggered by real and complex masses, reaching a plethora of $\mathcal{N}=2$ dualities for $U(N)$ and $Usp(2N)$ gauge theories, possibly with monopole superpotentials and Chern-Simons interactions. Special cases of these "exceptional dualities" are: supersymmetry enhancement dualities, "duality appetizers" and many known dualities relating rank-$1$ gauge groups. The $4d$ $\mathcal{N}=1$ $Usp$ dualities provide a unified perspective on many curious phenomena of $3d$ and $4d$ gauge theories with four supercharges. Finally, we propose a free mirror for $A_{2N}$ Argyres-Douglas, with its related adjoint-$Usp(2N)$ duality, and we construct a mirror for adjoint-$U(N)$, with an arbitrary number flavors and zero superpotential.

48 pages

References in corpus (25)

• Seiberg Duality in Chern-Simons Theory
• N=1 Deformations and RG Flows of N=2 SCFTs
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• Lagrangians for generalized Argyres-Douglas theories
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• Superconformal indices for N=1 theories with multiple duals
• N=1 Lagrangians for generalized Argyres-Douglas theories
• Abelianization and Sequential Confinement in $2+1$ dimensions
• D-type Conformal Matter and SU/USp Quivers
• Compactifications of ADE conformal matter on a torus
• Symmetry enhancement and closing of knots in 3d/3d correspondence
• RG flows with supersymmetry enhancement and geometric engineering
• More Three Dimensional Mirror Pairs
• $USp(2N_c)$ SQCD${}_3$ with antisymmetric: dualities and symmetry enhancements
• Curious Aspects of Three-Dimensional $\mathcal{N}=1$ SCFTs
• IR Dualities in General 3d Supersymmetric SU(N) QCD Theories
• Chern-Simons and RG Flows: Contact with Dualities
• Mirror theories of 3d $\mathcal{N}=2$ SQCD
• Curious patterns of IR symmetry enhancement
• Infrared enhancement of supersymmetry in four dimensions
• Chiral 3d SU(3) SQCD and N=2 mirror duality
• Flowing from 16 to 32 Supercharges
• E_8 orbits of IR dualities
• Notes on Integral Identities for 3d Supersymmetric Dualities
• New 3d $\mathcal{N}=2$ Dualities from Quadratic Monopoles

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• 3d dualities from 2d free field correlators: recombination and rank stabilization
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• Dualities for three-dimensional $\mathcal{N}=2$ $SU(N_c)$ chiral adjoint SQCD
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• The $SL(2,\mathbb{Z})$ dualization algorithm at work
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• Generalized Giveon-Kutasov duality
• Twisted indices, Bethe ideals and 3d $\mathcal{N}=2$ infrared dualities
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• Branes, partition functions and quadratic monopole superpotentials
• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• On the Protected Spectrum of the Minimal Argyres-Douglas Theory
• Webs of 3d $\mathcal{N}=2$ dualities with D-type superpotentials
• 3d Self-Dualities
• Exact Operator Map from Strong Coupling to Free Fields: Beyond Seiberg-Witten Theory
• Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs
• Intersecting Surface defects and 3d Superconformal indices
• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories
• Sequential deconfinement and self-dualities in $4d$ $\mathcal{N}=1$ gauge theories