3d duality with adjoint matter from 4d duality

Abstract

We study the Seiberg dualities with an adjoint matter for the $U(N)$ and $SU(N)$ gauge groups in three- and four-dimensions with four supercharges. The relation between three- and four-dimensional dualities is investigated. We especially 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 including an adjoint matter. In the $SU(N)$ case, we obtain the duality which follows from un-gauging the $U(N)$ Kim-Park duality.

References in corpus (2)

• Seiberg Duality in Chern-Simons Theory
• Dynamics of 3D SUSY Gauge Theories with Antisymmetric Matter

Cited by in corpus (3)

• Lagrangians for generalized Argyres-Douglas theories
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• Abelianization and Sequential Confinement in $2+1$ dimensions