Matrix realizations of exceptional superconformal algebras

We give a general construction of realizations of the contact superconformal algebras K(2)K(2) and Kˆ′(4), and the exceptional superconformal algebra CK6CK6 as subsuperalgebras of matrices over a Weyl algebra of size 2N×2N2N×2N, where N=1,2N=1,2 and 3. We show that there is no such realization for K(2N)K(2N), if N≥4N≥4.