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arXiv · hep-th/0103070

The Fuzzy Sphere Star-Product and Spin Networks

Laurent Freidel·Kirill Krasnov
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Abstract

We analyze the expansion of the fuzzy sphere non-commutative product in powers of the non-commutativity parameter. To analyze this expansion we develop a graphical technique that uses spin networks. This technique is potentially interesting in its own right as introducing spin networks of Penrose into non-commutative geometry. Our analysis leads to a clarification of the link between the fuzzy sphere non-commutative product and the usual deformation quantization of the sphere in terms of the star-product.

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Laurent Freidel, Kirill Krasnov. 2001-03-09. The Fuzzy Sphere Star-Product and Spin Networks. https://doi.org/10.1063/1.1456255

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