Interaction energy of Chern-Simons vortices in the gauged O(3) sigma model

The purpose of this Letter is to present a computation of the interaction energy of gauged O(3) Chern-Simons vortices which are infinitely separated. The results will show the behaviour of the interaction energy as a function of the constant coupling the potential, which measures the relative strength of the matter self-coupling and the electromagnetic coupling. We find that vortices attract each other for $\lambda > 1$ and repel when $\lambda < 1$. When $\lambda =1$ there is a topological lower bound on the energy. It is possible to saturate the bound if the fields satisfy a set of first order partial differential equations.Comment: 12 pages, LateX, 7 figures available on request from author. [email protected]

SO(3) Gauged Soliton of an O(4) Sigma Model on R3R_3

Vector $SO(3)$ gauged $O(4)$ sigma models on $\R_3$ are presented. The topological charge supplying the lower bound on the energy and rendering the soliton stable coincides with the Baryon number of the Skyrmion. These solitons have vanishing magnetic monopole flux. To exhibit the existence of such solitons, the equations of motion of one of these models is integrated numerically. The structure of the conserved Baryon current is briefly discussed.Comment: 14 pages, latex, 3 figures available from the authors on reques