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.
Titolo: | Sigma-Model Solitons on Noncommutative Spaces |
Autori: | |
Data di pubblicazione: | 2015 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11368/2846169 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s11005-015-0790-x |
URL: | http://www.kluweronline.com/issn/0377-9017 |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
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