Metric Properties of the Fuzzy Sphere

Published 1 Sep 2012 in math-ph, hep-th, math.MP, math.OA, and quant-ph | (1209.0108v2)

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.

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