Metric Properties of the Fuzzy Sphere

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.

Slightly shortened version, no major changes, two new references, version to appear on Letters in Mathematical Physics

References in corpus (2)

• Spin $j$ Dirac Operators on the Fuzzy 2-Sphere
• Dirac operator on the q-deformed Fuzzy sphere and Its spectrum

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