First-order vortices in a gauged CP (2) model with a Chern-Simons term

Abstract

We consider a gauged CP(2) theory in the presence of the Chern-Simons action, focusing our attention on those time-independent solutions possessing radial symmetry. In this context, we develop a coherent first-order framework via the Bogomol'nyi prescription, from which we obtain the corresponding energy lower bound and the first-order equations the model supports. We use these expressions to introduce effective Bogomol'nyi-Prasad-Sommerfeld (BPS) scenarios, solving the resulting first-order equations by means of the finite-difference scheme, this way attaining genuine field solutions engendering topological configurations. We depict the new profiles, commenting on the main properties they engender.