Self-dual Chern-Simons solitons and two-dimensional nonlinear equations

Publisher Website
Google Scholar
Abstract
The nonlinear planar Schrödinger equation with additional coupling to non-Abelian Chern-Simons gauge fields possesses static, zero-energy solutions that satisfy self-dual equations. When the Schrödinger field is in the adjoint representation, the static equations comprise a two-dimensional reduction of the four-dimensional self-dual Yang-Mills system and can be given various zero-curvature formulations. Well-known nonlinear equations of two-dimensional physics arise for the Schrödinger field, both in the adjoint and defining representations. Thus nonrelativistic matter interacting with Chern-Simons fields provides a unified dynamical framework for these equations.

This publication has 24 references indexed in Scilit: