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

Mathematics – Quantum Algebra

Scientific paper

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Latex, 10 pages

Scientific paper

10.1142/S0217732303012593

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 $CP^{q-1}$.

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