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This article is cited in 1 scientific paper (total in 1 paper)
On the Dimension of Solution Spaces of a Noncommutative Sigma Model in the Case of Uniton Number 2
A. V. Domrinaa, A. V. Domrinb a Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991 Russia
b Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
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.
Received: February 16, 2017
Citation:
A. V. Domrina, A. V. Domrin, “On the Dimension of Solution Spaces of a Noncommutative Sigma Model in the Case of Uniton Number 2”, Complex analysis and its applications, Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar, Trudy Mat. Inst. Steklova, 298, MAIK Nauka/Interperiodica, Moscow, 2017, 112–126; Proc. Steklov Inst. Math., 298 (2017), 104–117
Linking options:
https://www.mathnet.ru/eng/tm3807https://doi.org/10.1134/S0371968517030086 https://www.mathnet.ru/eng/tm/v298/p112
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Abstract page: | 297 | Full-text PDF : | 34 | References: | 31 | First page: | 18 |
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