Noncommutative Relativistic U(N) Chern-Simons Solitons

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.

10 pages

References in corpus (3)

• Energy Crisis or a New Soliton in the Noncommutative CP(1) Model?
• Noncommutative Chern-Simons Soliton
• Non BPS noncommutative vortices