English

Noncommutative Relativistic U(N) Chern-Simons Solitons

High Energy Physics - Theory 2011-08-09 v1

Abstract

We investigate BPS soliton solutions of U(N) Chern-Simons gauge theory coupled to a scalar field in noncommutative plane. With a scalar field in the fundamental representation, we show that the BPS equation becomes that of abelian Chern-Simons theory in the unitary gauge. We also find a class of particular solutions for the BPS equation with scalar field in the adjoint representation.

Keywords

Cite

@article{arxiv.0909.1152,
  title  = {Noncommutative Relativistic U(N) Chern-Simons Solitons},
  author = {Ee Chang-Young and Kyoungtae Kimm and Daeho Lee and Youngone Lee},
  journal= {arXiv preprint arXiv:0909.1152},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T13:43:15.892Z