Non-linear sigma-models in noncommutative geometry: fields with values in finite spaces
Quantum Algebra
2009-11-10 v1 High Energy Physics - Theory
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 .
Keywords
Cite
@article{arxiv.math/0309143,
title = {Non-linear sigma-models in noncommutative geometry: fields with values in finite spaces},
author = {Ludwik Dabrowski and Thomas Krajewski and Giovanni Landi},
journal= {arXiv preprint arXiv:math/0309143},
year = {2009}
}
Comments
Latex, 10 pages