On the dimension of solution spaces of a noncommutative sigma model in the case of uniton number 2
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We show that the complex dimension of the set of solutions of the noncommutative U(1) sigma model that are finite-dimensional perturbations of the identity operator and have canonical rank r and minimal uniton number 2 is equal to r. We give explicit formulas for all such solutions.
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- 8.O. Lechtenfeld, “Noncommutative solitons,” in Recent Developments in Gravitation and Cosmology, Ed. by A. Macías et al. (Am. Inst. Phys., Melville, NY, 2008), AIP Conf. Proc. 977, pp. 37–51.Google Scholar