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We investigate the four-derivative free Weyl action for two-columnmixed-symmetry field that makes use of maximal gauge symmetries. In flat space,the action can be uniquely determined from gauge and Weyl (trace shift)symmetry requirements. We show that there is a smooth and unique deformation ofthe flat action to (A)dS which keeps the same amount of gauge symmetries. Thisaction admits a factorization into two distinct two-derivative actions havinggauge parameters of different Young diagrams. Hence, this factorization patternnaturally extends that of the Weyl actions of symmetric higher spin fields tomixed-symmetry cases. The mass-deformation for these actions can be realizedpreserving one of the gauge symmetries. Although generically non-unitary, inspecial dimensions, unitarity is achieved selecting different mass deformationsfor dS and AdS. We consider particular examples of our construction such as NewMassive Gravity in three dimensions, linearized bigravity in four dimensionsand their arbitrary dimensional generalizations.

Weyl Action of Two-Column Mixed-Symmetry Field and Its Factorization Around (A)dS Space