Regge symmetry of 6-j or super 6-jS symbols: a re-analysis with partition properties

Abstract

It shown that the five Regge transformations act as a spectrometric splitter on any 6-j symbol. Four unknown partitions are brought out: S4(0), S4(1), S(2) and S4(5). They are stable subsets, with well defined parameters depending only on triangles and quadrangles. These findings are easily generalized to super 6-jS symbols, properly labelled by their own parity alpha, beta, gamma. Super Regge symmetry is reduced only for beta where S4(2), S4(5) vanish. In addition, all tools for computing exact values of any 6-jS are provided.