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Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions

arXiv:hep-th/0207166 · doi:10.1088/1126-6708/2002/08/009

Abstract

We find non-BPS solutions of the noncommutative CP^1 model in 2+1 dimensions. These solutions correspond to soliton anti-soliton configurations. We show that the one-soliton one-anti-soliton solution is unstable when the distance between the soliton and the anti-soliton is small. We also construct time-dependent solutions and other types of solutions.

11 pages, minor corrections