an:05258156
Zbl 1187.58021
Domrin, Andrei V.
A noncommutative uniton theory
EN
J. Geom. Symmetry Phys. 10, 1-7 (2007).
1312-5192 1314-5673
2007
j
58E20 53C35
Summary: 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 \(U(1)\) 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.