On representations of the exceptional superconformal algebra $C{K}_6$

Abstract

We realize the exceptional superconformal algebra $C{K}_6$, 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 $C{K}_6$ in a superspace spanned by 8 fields.

15 pages, TeX

Cited by in corpus (1)

• Matrix realizations of exceptional superconformal algebras