Representations of (1,0) and (2,0) Superconformal Algebras in Six Dimensions: Massless and Short Superfields

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.