Abelianization and Sequential Confinement in $2+1$ dimensions

Abstract

We consider the lagrangian description of Argyres-Douglas theories of type $A_{2N-1}$, which is a $SU(N)$ gauge theory with an adjoint and one fundamental flavor. An appropriate reformulation allows us to map the moduli space of vacua across the duality, and to dimensionally reduce. Going down to three dimensions, we find that the adjoint SQCD "abelianizes": in the infrared it is equivalent to a $\mathcal{N}=4$ linear quiver theory. Moreover, we study the mirror dual: using a monopole duality to "sequentially confine" quivers tails with balanced nodes, we show that the mirror RG flow lands on $\mathcal{N}=4$ SQED with $N$ flavors. These results provide a physical derivation of previous proposals for the three dimensional mirror of AD theories.

45 pages, clarifications and sequential RG flow to the 3d mirror of A_3 theory added. JHEP version

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• On the torus compactifications of $Z_2$ orbifolds of E-string theories
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• Infrared enhancement of supersymmetry in four dimensions
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• New 3d $\mathcal{N}=2$ Dualities from Quadratic Monopoles
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• Branes, partition functions and quadratic monopole superpotentials
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• 4d/2d $\to$ 3d/1d: A song of protected operator algebras
• No go for a flow
• Webs of 3d $\mathcal{N}=2$ dualities with D-type superpotentials
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• Compactifying 5d superconformal field theories to 3d
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• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories
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• FI-flows of 3d N=4 Theories