Supersymmetric gauge theories with decoupled operators and chiral ring stability

Abstract

We propose a general way to complete supersymmetric theories with operators below the unitarity bound, adding gauge-singlet fields which enforce the decoupling of such operators. This makes it possible to perform all usual computations, and to compactify on a circle. We concentrate on a duality between an $\mathcal{N}=1$ $SU(2)$ gauge theory and the $\mathcal{N}=2$ $A_3$ Argyres-Douglas [1,2], mapping the moduli space and chiral ring of the completed $\mathcal{N}=1$ theory to those of the $A_3$ model. We reduce the completed gauge theory to $3d$, finding a $3d$ duality with $\mathcal{N}=4$ SQED with two flavors. The naive dimensional reduction is instead $\mathcal{N}=2$ SQED. Crucial is a concept of chiral ring stability, which modifies the superpotential and allows for a $3d$ emergent global symmetry.

Major modifications: title changed, clarifications added. PRL version

References in corpus (5)

• 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
• Abelianization and Sequential Confinement in $2+1$ dimensions
• More Three Dimensional Mirror Pairs
• 3d duality with adjoint matter from 4d duality

Cited by in corpus (28)

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• Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories
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• Dualities for adjoint SQCD in three dimensions and emergent symmetries
• On the Protected Spectrum of the Minimal Argyres-Douglas Theory
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• 4d/2d $\to$ 3d/1d: A song of protected operator algebras
• $\mathcal{N}=1$ conformal dualities from unoriented chiral quivers
• Futaki Invariants and Reflexive Polygons
• Some Open Questions in Quiver Gauge Theory
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• Geometric Approaches to Quantum Fields and Strings at Strong Couplings
• Sequential deconfinement and self-dualities in $4d$ $\mathcal{N}=1$ gauge theories
• Suspended Fixed Points
• Aspects of 4d supersymmetric dynamics and geometry