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arXiv · 1501.02331

Sigma-model solitons on noncommutative spaces

Ludwik Dabrowski·Giovanni Landi·Franz Luef
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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.

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Ludwik Dabrowski, Giovanni Landi, Franz Luef. 2016-01-22. Sigma-model solitons on noncommutative spaces. https://doi.org/10.1007/s11005-015-0790-x

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