Lax pair and Darboux transformation of noncommutative U(N) principal chiral model
arXiv:hep-th/0609127 · doi:10.1088/0305-4470/39/37/021
Abstract
We present a noncommutative generalization of Lax formalism of U(N) principal chiral model in terms of a one-parameter family of flat connections. The Lax formalism is further used to derive a set of parametric noncommutative Bäcklund transformation and an infinite set of conserved quantities. From the Lax pair, we derive a noncommutative version of the Darboux transformation of the model.
arXiv comment1+20 pages
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