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

    https://doi.org/10.1142/S0217732303012593Cited by:12 (Source: Crossref)

    We study σ-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 .

    PACS: 11.10.Nx

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