On the condensate multivortex solutions of the self-dual Maxwell-Chern-Simons CP(1) model

초록

In this paper we prove the existence of periodic multivortex solutions in the plane of the self-dual Maxwell-Chern-Simons CP(1) model where the kinetic part of the Lagrangian contains both Maxwell and Chern-Simons terms. We also study both of the Maxwell and the Chern-Simons limits. Finally we consider the single signed vortex case and prove that the solutions are bounded from below or above by solutions of the Maxwell CP(1) model depending on the sign of the vortices. As a simple corollary, in the vortex free case we construct a unique explicit solution.

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