English

3d duality with adjoint matter from 4d duality

High Energy Physics - Theory 2015-06-22 v1

Abstract

We study the Seiberg dualities with an adjoint matter for the U(N)U(N) and SU(N)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 S1\mathbb{S}^1-compactification. In the U(N)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)SU(N) case, we obtain the duality which follows from un-gauging the U(N)U(N) Kim-Park duality.

Keywords

Cite

@article{arxiv.1409.3230,
  title  = {3d duality with adjoint matter from 4d duality},
  author = {Keita Nii},
  journal= {arXiv preprint arXiv:1409.3230},
  year   = {2015}
}
R2 v1 2026-06-22T05:53:53.686Z