Title | Non-linear sigma-models in noncommutative geometry: fields with values in finite spaces |
Publication Type | Journal Article |
Year of Publication | 2003 |
Authors | Dabrowski, L, Krajewski, T, Landi, G |
Journal | Mod. 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 $CP^{q-1}$. |
URL | http://hdl.handle.net/1963/3215 |
DOI | 10.1142/S0217732303012593 |
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