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.

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

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Cited by in corpus (2)

• New aspects of Argyres--Douglas theories and their dimensional reduction
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