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

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

References in corpus (2)

• Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions
• Low-Energy Dynamics of Noncommutative CP^1 Solitons in 2+1 Dimensions

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• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• On Noncommutative Merons and Instantons
• Lost equivalence of nonlinear sigma and $C{P}^1$ models on noncommutative space
• Transmogrifying Fuzzy Vortices
• $C{P}^{(N-1)}$ model in aether-superspace
• Solitons of Sigma Model on Noncommutative Space as Solitons of Electron System
• On the energy crisis in noncommutative CP(1) model