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On the dimension of solution spaces of a noncommutative sigma model in the case of uniton number 2

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Abstract

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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© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Faculty of Computational Mathematics and CyberneticsMoscow State UniversityMoscowRussia
  2. 2.Faculty of Mechanics and MathematicsMoscow State UniversityMoscowRussia

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