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arxiv: 1901.09947 · v2 · pith:Z6OHLIEWnew · submitted 2019-01-28 · ✦ hep-th

Dualities for adjoint SQCD in three dimensions and emergent symmetries

classification ✦ hep-th
keywords mathcaladjointdualitiestheoriesthreedimensionsdualduality
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In this paper we study dualities for $\mathcal{N}=2$ gauge theories in three dimensions with matter in the fundamental and adjoint representation. The duality we propose, analogous to mirror symmetry, is obtained starting from $\mathcal{N}=4$ mirror theories and turning on a certain superpotential deformation involving monopole operators. We study the role of emergent symmetries in the dual theory, focusing on the case of models with gauge symmetry $U(2)$ or $SU(2)$. We find that $SU(2)$ adjoint SQCD with one flavor and zero superpotential is dual to SQED with two flavors and three singlets. As a byproduct, we recover several dualities for theories with $\mathcal{N}=2$ and $\mathcal{N}=4$ supersymmetry, including the duality appetizer of Jafferis and Yin.

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