General classical solutions in the noncommutative CP^(N-1) model

Abstract

We give an explicit construction of general classical solutions for the noncommutative CP^(N-1) model in two dimensions, showing that they correspond to integer values for the action and topological charge. We also give explicit solutions for the Dirac equation in the background of these general solutions and show that the index theorem is satisfied.

11 pages, Harvmac. Typos corrected, references added

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Cited by in corpus (5)

• Sigma-Model Solitons in the Noncommutative Plane: Construction and Stability Analysis
• Comments on Noncommutative Sigma Models
• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• Lost equivalence of nonlinear sigma and $C{P}^1$ models on noncommutative space
• $C{P}^{(N-1)}$ model in aether-superspace