Sigma-model solitons on noncommutative spaces
arXiv:1501.02331 · doi:10.1007/s11005-015-0790-x
Abstract
We use results from time-frequency analysis and Gabor analysis to construct new classes of sigma-model solitons over the Moyal plane and over noncommutative tori, taken as source spaces, with a target space made of two points. A natural action functional leads to self-duality equations for projections in the source algebra. Solutions, having non-trivial topological content, are constructed via suitable Morita duality bimodules.
v2: minor changes