Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories

Abstract

We consider $3d$ $\mathcal{N}=2$ gauge theories with fundamental matter plus a single field in a rank-$2$ representation. Using iteratively a process of "deconfinement" of the rank-$2$ field, we produce a sequence of Seiberg-dual quiver theories. We detail this process in two examples with zero superpotential: $Usp(2N)$ gauge theory with an antisymmetric field and $U(N)$ gauge theory with an adjoint field. The fully deconfined dual quiver has $N$ nodes, and can be interpreted as an Aharony dual of theories with rank-$2$ matter. All chiral ring generators of the original theory are mapped into gauge singlet fields of the fully deconfined quiver dual.

arXiv comment27 pages. v1: references added. v2: typos corrected, version for JHEP

References in corpus (45)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions
• Topological Disorder Operators in Three-Dimensional Conformal Field Theory
• IR Duality in d=3 N=2 Supersymmetric USp(2N_c) and U(N_c) Gauge Theories
• Comments on 3d Seiberg-like dualities
• Monopole Operators and Mirror Symmetry in Three Dimensions
• Dynamics of N=2 Supersymmetric Gauge Theories in Three Dimensions
• Branes and Mirror Symmetry in N=2 Supersymmetric Gauge Theories in Three Dimensions
• Lagrangians for generalized Argyres-Douglas theories
• Duality in SUSY $SU(N)$ with an Antisymmetric Tensor
• Phases Of Adjoint QCD${}_3$ And Dualities
• SUSY monopole potentials in 2+1 dimensions
• The Dual of Supersymmetric SU(2k) with an Antisymmetric Tensor and Composite Dualities
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Rank $Q$ E-string on a torus with flux
• Aharony Dualities for 3d Theories with Adjoint Matter
• Flipping the head of T[SU(N)]: mirror symmetry, spectral duality and monopoles
• N=2 Dualities and Z Extremization in Three Dimensions
• 3d N=2 mirror symmetry, pq-webs and monopole superpotentials
• Curious Aspects of Three-Dimensional $\mathcal{N}=1$ SCFTs
• From 3d dualities to 2d free field correlators and back
• $USp(2N_c)$ SQCD${}_3$ with antisymmetric: dualities and symmetry enhancements
• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• Dualities and Phases of 3D N=1 SQCD
• A tale of exceptional 3d dualities
• Large N Renormalization Group Flows in 3d $\mathcal{N}=1$ Chern-Simons-Matter Theories
• 3d dualities from 2d free field correlators: recombination and rank stabilization
• $\mathcal{N}=1$ dualities in 2+1 dimensions
• Living on the walls of super-QCD
• New 2d $\mathcal{N}=(0,2)$ dualities from four dimensions
• 3d duality with adjoint matter from 4d duality
• Chern-Simons and RG Flows: Contact with Dualities
• Duals for SU(N) SUSY gauge theories with an antisymmetric tensor: five easy flavors
• Monopole Quivers and new 3D N=2 dualities
• Dualities for three-dimensional $\mathcal{N}=2$ $SU(N_c)$ chiral adjoint SQCD
• New 3d $\mathcal{N}=2$ SCFT's with $N^{3/2}$ scaling
• Chiral 3d SU(3) SQCD and N=2 mirror duality
• On 3d Seiberg-like Dualities with Two Adjoints
• An $\mathcal{N}=1$ 3d-3d Correspondence
• N=1 QED in 2+1 dimensions: Dualities and enhanced symmetries
• 3d Deconfinement, Product gauge group, Seiberg-Witten and New 3d dualities
• 3d "chiral" Kutasov-Schwimmer duality
• 3D Dualities and Supersymmetry Enhancement from Domain Walls
• Notes on $\mathcal{N}=1$ QCD${}_3$ with baryon superpotential
• Full Phase Diagram of a UV Completed $\mathcal{N}=1$ Yang-Mills-Chern-Simons Matter Theory

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