On representations of the exceptional superconformal algebra CK₆

2003/11/26 by Elena Poletaeva, Poletaeva, Elena
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0311247

15 pages, TeX

arxiv created 2003/11/26 · arxiv updated 2009/12/01

Abstract

We realize the exceptional superconformal algebra CK₆, 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 CK₆ in a superspace spanned by 8 fields.

Related

• On matrix realizations of the contact superconformal algebra K'(4) and the exceptional N = 6 superconformal algebra
• Representations of (1,0) and (2,0) superconformal algebras in six dimensions: massless and short superfields
• Irreducible representations of the exceptional cheng-kac superalgebra
• Representation Theory of Superconformal Algebras and the Kac-Roan-Wakimoto Conjecture
• Contact superconformal algebras and their representations