On the frame-like formulation of mixed-symmetry massless fields in (A)dSd

Abstract The frame-like covariant Lagrangian formulation of bosonic and fermionic mixed-symmetry type higher spin massless fields propagating on the AdS d background is proposed. Higher spin fields are described in terms of gauge p -forms which carry tangent indices representing certain traceless tensor or gamma transversal spinor-tensor representations of the AdS d algebra o ( d −1,2) (or o ( d ,1) for bosonic fields in dS d ). Manifestly gauge invariant Abelian higher spin field strengths are introduced for the general case. We describe the general framework and demonstrate how it works for the mixed-symmetry type fields associated with the three-cell “hook” and arbitrary two-row rectangular tableaux. The manifestly gauge invariant actions for these fields are presented in a simple form. The flat limit is also analyzed.