Noncommutative Relativistic U(N) Chern-Simons Solitons
Ee Chang-Young, Kyoungtae Kimm, Daeho Lee, Youngone Lee
TL;DR
This paper explores BPS soliton solutions in noncommutative U(N) Chern-Simons gauge theory coupled to scalar fields, revealing simplifications and new solution classes in different representations.
Contribution
It demonstrates that BPS equations reduce to abelian Chern-Simons form in the fundamental case and introduces new solutions for the adjoint case in noncommutative space.
Findings
BPS equations simplify to abelian form in fundamental representation
New classes of solutions found for adjoint representation
Insights into noncommutative gauge theory 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.
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