Some Properties of Non-linear $\sigma$-Models in Noncommutative Geometry
Dabrowski, Ludwik ; Krajewski, Thomas ; Landi, Giovanni
arXiv, 0003099 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-03-13
Classification:  High Energy Physics - Theory,  General Relativity and Quantum Cosmology,  Mathematical Physics 
@article{0003099,
     author = {Dabrowski, Ludwik and Krajewski, Thomas and Landi, Giovanni},
     title = {Some Properties of Non-linear $\sigma$-Models in Noncommutative Geometry},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0003099}
}

Dabrowski, Ludwik; Krajewski, Thomas; Landi, Giovanni. Some Properties of Non-linear $\sigma$-Models in Noncommutative Geometry. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0003099/