A note on the existence of soliton solutions in the Chern-Simons-CP(1) model

TL;DR

This paper investigates the gauged Chern-Simons-CP(1) system and demonstrates that, without a potential term, it cannot support finite size soliton solutions in two-dimensional space, contrary to earlier claims.

Contribution

The study clarifies the conditions under which finite size solitons can exist in the Chern-Simons-CP(1) model, correcting previous misconceptions.

Findings

Finite size solitons do not exist without a potential term in R^2

Contradicts earlier claims of soliton solutions in the model

Provides theoretical clarification on soliton existence conditions

Abstract

We study a gauged Chern-Simons-CP(1) system. We show that contrary to previous claims the model in the absences of a potential term cannot support finite size soliton solution in $R^2$.