Noncommutative Chern-Simons solitons
Noncommutative Chern-Simons solitons
The Chern-Simons theories on a noncommutative plane, which are shown to describe the quantum Hall liquid, are considered. We introduce matter fields fundamentally coupled to the noncommutative Chern-Simons field. Exploiting BPS equations for the nonrelativistic Chern-Simons theory, we find the exact solutions of multivortices that are closely packed and exponentially …