Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-13
Int.J.Mod.Phys. B14 (2000) 2367-2382
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, latex. Talk presented at the Euroconference ``Hopf algebras and noncommutative geometry in field theory and particle
Scientific paper
10.1142/S0217979200001898
We introduce non-linear $\sigma$-models in the framework of noncommutative geometry with special emphasis on models defined on the noncommutative torus. We choose as target spaces the two point space and the circle and illustrate some characteristic features of the corresponding $\sigma$-models. In particular we construct a $\sigma$-model instanton with topological charge equal to 1. We also define and investigate some properties of a noncommutative analogue of the Wess-Zumino-Witten model.
Dabrowski Ludwik
Krajewski Thomas
Landi Giovanni
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