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Non-linear sigma-models in noncommutative geometry: fields with values in finite spaces

TitleNon-linear sigma-models in noncommutative geometry: fields with values in finite spaces
Publication TypeJournal Article
Year of Publication2003
AuthorsDabrowski, L, Krajewski, T, Landi, G
JournalMod. Phys. Lett. A 18 (2003) 2371-2379
Abstract

We study sigma-models on noncommutative spaces, notably on noncommutative tori. We construct instanton solutions carrying a nontrivial topological charge q and satisfying a Belavin-Polyakov bound. The moduli space of these instantons is conjectured to consists of an ordinary torus endowed with a complex structure times a projective space $CP^{q-1}$.

URLhttp://hdl.handle.net/1963/3215
DOI10.1142/S0217732303012593

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