On matrix realizations of the contact superconformal algebra $\hat{K}'(4)$ and the exceptional N = 6 superconformal algebra

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dc.creatorPoletaeva, Elena
dc.date2007-07-20
dc.date.accessioned2026-07-07T08:19:25Z
dc.date.available2026-07-07T08:19:25Z
dc.descriptionThe superalgebra $\hat{K}'(4)$ and the exceptional N = 6 superconformal algebra have ``small'' irreducible representations in the superspaces $V^μ = t^μ\C[t, t^{-1}]\otimesΛ(N)$, where N = 2 and 3, respectively. For ${μ\in \C\backslash \Z}$ they are associated to the embeddings of these superalgebras into the Lie superalgebras of pseudodifferential symbols on the supercircle S^{1|N}. In this work we describe $\hat{K}'(4)$ and the exceptional N = 6 superconformal algebra in terms of matrices over a Weyl algebra. Correspondingly, we obtain realizations of their representations in $V^μ$ for $μ= 0$.
dc.description5 pages, LaTex, to be published in Dynamics of Continuous, Discrete and Impulsive Systems-Series A (Special Issue) in 2007
dc.identifierhttps://arxiv.org/abs/0707.3097
dc.identifierhttp://arxiv.org/abs/0707.3097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134754
dc.subjectHigh Energy Physics - Theory
dc.titleOn matrix realizations of the contact superconformal algebra $\hat{K}'(4)$ and the exceptional N = 6 superconformal algebra
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