Solitons in a Grassmannian sigma-model Coupled to Chern-Simons Term

Abstract

We propose an exactly solvable Grassmannian sigma-model coupled to the Chern-Simons theory. In the presence of a novel topological term our model admits exact self-dual vortex solutions which are identical to those of pure Grassmannian model, but the topological charge has a physical meaning as a magnetic flux since the gauge field is no longer auxiliary. We also extend the theory to a noncommutative plane and analyze the BPS solutions.

10+1 pages, No figure, LaTeX; Reference added, Minor changes, to appear in Phys. Rev. D

References in corpus (4)

• Noncommutative Field Theory
• On Level Quantization for the Noncommutative Chern-Simons Theory
• Chern-Simons Theories on Noncommutative Plane
• On a Matrix Model of Level Structure

Cited by in corpus (2)

• General classical solutions in the noncommutative CP^(N-1) model
• Unifying Geometrical Representations of Gauge Theory