Abstract
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.
Citation
Andrei V. Domrin. "A Noncommutative Uniton Theory." J. Geom. Symmetry Phys. 10 1 - 8, 2007. https://doi.org/10.7546/jgsp-10-2007-1-8
Information
