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

Ludwik Dabrowski

Scuola Internazionale Superiore Studi Avanzati, Via Beirut 2-4, I-34014, Trieste, Italy

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Thomas Krajewski

Centre de Physique Théorique, Campus de Luminy, F-13288 Marseille Cedex 9, France

Université de Provence, France

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Giovanni Landi

Dipartimento di Scienze Matematiche, Università di Trieste, P.le Europa 1, I-34127, Trieste, Italy

INFN, Sezione di Napoli, Napoli, Italy

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

Abstract

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 .

Keywords:

PACS: 11.10.Nx

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