Email this article On the dimension of solution spaces of a noncommutative sigma model in the case of uniton number 2
- Authors: Domrina A.V.1, Domrin A.V.2
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics
- Faculty of Mechanics and Mathematics
- Issue: Vol 298, No 1 (2017)
- Pages: 104-117
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174979
- DOI: https://doi.org/10.1134/S0081543817060086
- ID: 174979
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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.
About the authors
A. V. Domrina
Faculty of Computational Mathematics and Cybernetics
Author for correspondence.
Email: avdomrina@yandex.ru
Russian Federation, Moscow, 119991
A. V. Domrin
Faculty of Mechanics and Mathematics
Email: avdomrina@yandex.ru
Russian Federation, Moscow, 119991
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