English

Semilocal Self-Dual Chern-Simons Solitons and Toda-type Eqations

High Energy Physics - Theory 2009-10-28 v2

Abstract

We consider a nonrelativistic Chern-Simons theory of planar matter fields interacting with the Chern-Simons gauge field in a SU(N)global×U(1)localSU(N)_{global} \times U(1)_{local} invariant fashion. We find that this model admits static zero-energy self-dual soliton solutions. We also present a set of exact soliton solutions. The exact time-dependent solutions are also obtained, when this model is considered in the background of an external uniform magnetic field.

Keywords

Cite

@article{arxiv.hep-th/9503199,
  title  = {Semilocal Self-Dual Chern-Simons Solitons and Toda-type Eqations},
  author = {Pijush K. Ghosh},
  journal= {arXiv preprint arXiv:hep-th/9503199},
  year   = {2009}
}

Comments

Presentation of the equations are changed; to appear in Phys. Rev. D