Chern–Simons solitons of a general Higgs potential

The existing studies of U ( 1 ) × U ( 1 ) Chern–Simons vortices depend on the specific form of Higgs potential term for the reduction to self-duality. In this paper, we show that a much wider class of Higgs potential may be allowed to achieve self-duality provided that the kinetic energy terms of Higgs fields are suitably modified, and also establish the existence of topological vortices in the generalized model.