Matrix realizations of exceptional superconformal algebras

Physics – Mathematical Physics

Scientific paper

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17 pages, LaTeX, to be published in the Journal of Geometry and Physics

Scientific paper

10.1016/j.geomphys.2008.01.005

We give a general construction of realizations of the contact superconformal
algebras $K(2)$ and $\hat{K}'(4)$, and the exceptional superconformal algebra
$CK_6$ as subsuperalgebras of matrices over a Weyl algebra of size $2^N\times
2^N$, where $N = 1, 2$ and $3$. We show that there is no such a realization for
$K(2N)$, if $N\geq 4$.

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