@article {2003,
title = {Non-linear sigma-models in noncommutative geometry: fields with values in finite spaces},
journal = {Mod. Phys. Lett. A 18 (2003) 2371-2379},
number = {arXiv.org;math/0309143v1},
year = {2003},
publisher = {World Scientific},
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 $CP^{q-1}$.},
doi = {10.1142/S0217732303012593},
url = {http://hdl.handle.net/1963/3215},
author = {Ludwik Dabrowski and Thomas Krajewski and Giovanni Landi}
}
@article {2000,
title = {Some Properties of Non-linear sigma-Models in Noncommutative Geometry},
journal = {Int. J. Mod. Phys. B 14 (2000) 2367-2382},
number = {SISSA;158/99/FM},
year = {2000},
publisher = {SISSA Library},
abstract = {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.},
doi = {10.1142/S0217979200001898},
url = {http://hdl.handle.net/1963/1373},
author = {Ludwik Dabrowski and Thomas Krajewski and Giovanni Landi}
}