Multiple existence of the multivortex solutions of the self-dual Chern-Simons CP(1) model on a doubly periodic domain

In this Letter, we investigate multiple existence of the multivortex soluti ons of the self-dual Chern-Simons CP(1) model on a flat torus for each rang e of the symmetry breaking parameter. We also study asymptotics of solution s as the Chern-Simons coupling constant goes to zero.