A double rotor coherent state construction of the Wigner supermultiplet SU(4) contains/implies SU(2)*SU(2)

Abstract

A double rotor vector coherent state construction of the SU(4) contains/implies SU(2)*SU(2) Wigner supermultiplet leads to a simple matrix representation of this scheme. Matrix elements of the vector coherent state realizations of the group generators are given by very simple expressions in terms of ordinary spin (S) and isospin (T) Wigner coefficients with intrinsic projection labels KS and KT. The K-matrix technique is used to effectively elevate these labels to the status of good quantum numbers. The KK matrices are given in analytic form for a number of important irreducible representations.