Noncommutative tori, Yang-Mills and string theory
| dc.creator | Konechny, Anatoly | |
| dc.date | 2005-09-02 | |
| dc.date.accessioned | 2026-07-07T04:18:33Z | |
| dc.date.available | 2026-07-07T04:18:33Z | |
| dc.description | Noncommutative tori are among historically the oldest and by now the most developed examples of noncommutative spaces. Noncommutative Yang-Mills theory can be obtained from string theory. This connection led to a cross-fertilization of research in physics and mathematics on Yang-Mills theory on noncommutative tori. One important result stemming from that work is the link between T-duality in string theory and Morita equivalence of associative algebras. In this article we give an overview of the basic results in differential geometry of noncommutative tori. Yang-Mills theory on noncommutative tori, the duality induced by Morita equivalence and its link with the T-duality are discussed. Noncommutative Nahm transform for instantons is introduced. | |
| dc.description | 11 pages, Latex; to appear in Encyclopedia of Mathematical Physics to be published by Elsevier in 2006, referencing follows the guidelines of the publisher | |
| dc.identifier | https://arxiv.org/abs/hep-th/0509021 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0509021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53224 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Noncommutative tori, Yang-Mills and string theory | |
| dc.type | text |