Classical 6j–symbols and the tetrahedron by Justin Roberts

I have been reading this paper over the weekend together with some other papers on spin networks (which I’ll post about later). The goal of this paper is to prove and explain the classical 6J symbol by using geometric quantization. A classical 6j –symbol is a real number which can be associated to a labelling of the six edges of a tetrahedron by irreducible representations of SU(2). It has a deep geometric significance -Ponzano and Regge, expanding on work of Wigner, gave an asymptotic formula relating the value of the 6j – symbol, when the dimensions of the representations are large, to the volume of an Euclidean tetrahedron whose edge lengths are these dimensions.

6j-symbol

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