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arxiv: 1209.0108 · v2 · pith:3IOVDI56new · submitted 2012-09-01 · 🧮 math-ph · hep-th· math.MP· math.OA· quant-ph

Metric Properties of the Fuzzy Sphere

classification 🧮 math-ph hep-thmath.MPmath.OAquant-ph
keywords metricspherefuzzysequenceblochcarriescoherentconverge
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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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