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The Fuzzy Sphere Star-Product and Spin Networks | | Laurent Freidel
; Kirill Krasnov
; | | Date: |
9 Mar 2001 | | Journal: | J.Math.Phys. 43 (2002) 1737-1754 | | Subject: | High Energy Physics - Theory; Quantum Algebra | hep-th gr-qc math.QA | | Affiliation: | ENS, Lyon) and Kirill Krasnov (UCSB | | 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. | | Source: | arXiv, hep-th/0103070 | | Services: | Forum | Review | PDF | Favorites | |
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