Open Access
2007 A Noncommutative Uniton Theory
Andrei V. Domrin
J. Geom. Symmetry Phys. 10: 1-8 (2007). DOI: 10.7546/jgsp-10-2007-1-8


Harmonic two-spheres in the unitary group may be constructed and described in terms of unitons. We present an analogue of this theory for those solutions of the noncommutative ${\rm U}(1)$ sigma-model that may be represented as finite-dimensional perturbations of zero-energy solutions. In particular, we establish that the energy of every such solution is an integer multiple of $8\pi$, describe all solutions of small energy and give many explicit examples of non-Grassmannian solutions.


Download Citation

Andrei V. Domrin. "A Noncommutative Uniton Theory." J. Geom. Symmetry Phys. 10 1 - 8, 2007.


Published: 2007
First available in Project Euclid: 20 May 2017

zbMATH: 1187.58021
MathSciNet: MR2380046
Digital Object Identifier: 10.7546/jgsp-10-2007-1-8

Rights: Copyright © 2007 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

Back to Top