LOW-ENERGY DYNAMICS OF [U(1)]N CHERN-SIMONS SOLITONS

We apply the adiabatic approximation to investigate the low energy dyn amics of vortices in the parity-invariant double self-dual Higgs model with only mutual Chern-Simons interaction. When distances between sol itons are large they are particles subject to the mutual interaction. The dual formulation of the model is derived to explain the sign of th e statistical interaction. When vortices of different types pass throu gh one another they behave like charged particles in a magnetic field. They can form a bound state due to the mutual magnetic trapping. Vort ices of the same type exhibit no statistical interaction. Their short range interactions are analyzed. Possible quantum effects due to the f inite width of vortices are discussed.