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arXiv · 2012.09773

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

Sergio Benvenuti·Ivan Garozzo·Gabriele Lo Monaco
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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.

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Sergio Benvenuti, Ivan Garozzo, Gabriele Lo Monaco. 2020-12-17. Sequential deconfinement in $3d$ $\mathcal{N}\!=\!2$ gauge theories. https://doi.org/10.1007/jhep07(2021)191

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