Sigma-Model Solitons on Noncommutative Spaces

被引：0
|
作者：
Ludwik Dabrowski
Giovanni Landi
Franz Luef
机构：
[1] SISSA (Scuola Internazionale Superiore di Studi Avanzati),Department of Mathematics
[2] Matematica,undefined
[3] Università di Trieste,undefined
[4] INFN,undefined
[5] Sezione di Trieste,undefined
[6] NTNU Trondheim,undefined
来源：
Letters in Mathematical Physics | 2015年 / 105卷
关键词：
Primary 58E20; 35C08; Secondary 42C15; 58B34; 42B35; noncommutative sigma models; self-duality equations; solitons; Moyal plane; noncommutative tori; time–frequency analysis; Gabor analysis; frames; Morita duality bimodules;
D O I：
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中图分类号：
学科分类号：
摘要：
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 nontrivial topological content, are constructed via suitable Morita duality bimodules.
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页码：1663 / 1688
页数：25
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