2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52276We realize the exceptional superconformal algebra $CK_6$, spanned by 32 fields, inside the Lie superalgebra of pseudodifferential symbols on the supercircle $S^{1|3}$. We obtain a one-parameter family of irreducible representations of $CK_6$ in a superspace spanned by 8 fields.15 pages, TeXHigh Energy Physics - Theorytext