Metric Properties of the Fuzzy Sphere
Mathematical Physics
2013-08-15 v2 High Energy Physics - Theory
math.MP
Operator Algebras
Quantum Physics
Abstract
The fuzzy sphere, as a quantum metric space, carries a sequence of metrics which we describe in detail. We show that the Bloch coherent states, with these spectral distances, form a sequence of metric spaces that converge to the round sphere in the high-spin limit.
Keywords
Cite
@article{arxiv.1209.0108,
title = {Metric Properties of the Fuzzy Sphere},
author = {Francesco D'Andrea and Fedele Lizzi and Joseph C. Varilly},
journal= {arXiv preprint arXiv:1209.0108},
year = {2013}
}
Comments
Slightly shortened version, no major changes, two new references, version to appear on Letters in Mathematical Physics