Abstract
The vector coherent state and K-matrix combined theory is applied to construct matrix realizations of the positive discrete series irreps of the orthosymplectic superalgebras osp(P/2N,R) (P = 2M or 2M+1) in osp(P/2N,R) ⊃ so(P) ⊕ sp(2N,R) ⊃ so(P) ⊕ u(N) bases. As an example, the case of osp(4/2,R) is treated in detail.
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