Abstract
We study the Seiberg dualities with an adjoint matter for the U(N) and the SU(N) gauge groups in three- and four-dimensions with four supercharges. The relation between three- and four-dimensional dualities is investigated. We derive the three-dimensional duality from four-dimensional one by the dimensional reduction including the non-perturbative effect of the \( {\mathbb{S}}^1 \)-compactification. In the U(N) case, we obtain the Kim-Park duality which is known as a generalization of the Aharony duality to including an adjoint matter. In the SU(N) case, we obtain the duality which follows from un-gauging the U(N) Kim-Park duality.
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Nii, K. 3d duality with adjoint matter from 4d duality. J. High Energ. Phys. 2015, 24 (2015). https://doi.org/10.1007/JHEP02(2015)024
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DOI: https://doi.org/10.1007/JHEP02(2015)024