Sigma-model solitons on noncommutative spaces
Mathematical Physics
2016-01-25 v2 math.MP
Operator Algebras
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.
Keywords
Cite
@article{arxiv.1501.02331,
title = {Sigma-model solitons on noncommutative spaces},
author = {Ludwik Dabrowski and Giovanni Landi and Franz Luef},
journal= {arXiv preprint arXiv:1501.02331},
year = {2016}
}
Comments
v2: minor changes