Representations of (1,0) and (2,0) superconformal algebras in six dimensions: massless and short superfields

2000/01/31 by Sergio Ferrara, Emery Sokatchev
Physics and Astronomy · #hep-th

paper · pdf

published as Lett.Math.Phys. 51 (2000) 55-69 · references added

arxiv created 2000/05/02 · arxiv updated 2009/11/30

Abstract

We construct unitary representations of (1,0) and (2,0) superconformal algebras in six dimensions by using superfields defined on harmonic superspaces with coset manifolds USp(2n)/[U(1)]ⁿ, n=1,2. In the spirit of the AdS₇/CFT₆ correspondence massless conformal fields correspond to "supersingletons" in AdS₇. By tensoring them we produce all short representations corresponding to 1/2 and 1/4 BPS anti-de Sitter bulk states of which "massless bulk" representations are particular cases.

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