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18 August 2022
 
  » arxiv » hep-th/0103070

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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
AffiliationENS, Lyon) and Kirill Krasnov (UCSB
AbstractWe 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
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