Racah Sum Rule and Biedenharn-Elliott Identity for the Super-Rotation $6-j$ symbols

Details Racah Sum Rule and Biedenharn-Elliott Identity for the Super-Rotation $6-j$ symbols Racah Sum Rule and Biedenharn-Elliott Identity for the Super-Rotation $6-j$ symbols

1994-02-08

arxiv.org/abs/hep-th/9402040v4

J.Math.Phys. 35 (1994) 5057-5064

Physics

High Energy Physics

High Energy Physics - Theory

9 pages. Two misprints corrected

Scientific paper

10.1063/1.530831

It is shown that the well known Racah sum rule and Biedenharn-Elliott identity satisfied by the recoupling coefficients or by the $6-j$ symbols of the usual rotation $SO(3)$ algebra can be extended to the corresponding features of the super-rotation $osp(1|2)$ superalgebra. The structure of the sum rules is completely similar in both cases, the only difference concerns the signs which are more involved in the super-rotation case.

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