00-224 Ludwik Dabrowski, Thomas Krajewski, Giovanni Landi

Some Properties of Non-linear $\sigma$-Models in Noncommutative Geometry (51K, LaTex 2e) May 15, 00

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 00-224.src( 00-224.keywords , dakralato.tex )