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.
Sigma-Model Solitons on Noncommutative Spaces / Dabrowski, Ludwik; Landi, Giovanni; Luef, Franz. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - ELETTRONICO. - (2015), pp. 1-26. [10.1007/s11005-015-0790-x]
Sigma-Model Solitons on Noncommutative Spaces
DABROWSKI, LUDWIK;LANDI, GIOVANNI;
2015-01-01
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.| File | Dimensione | Formato | |
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