Metric properties of the fuzzy sphere

Fecha

2013-02

Tipo

artículo original

Autores

D'Andrea, Francesco
Lizzi, Fedele
Várilly Boyle, Joseph C.

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Resumen

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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Palabras clave

fuzzy sphere, geometría no conmutativa, distancia métrica

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