U(1)×U(1) 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.