Geometric formulation for partially massless fields

The manifestly gauge invariant formulation for free symmetric higher-spin partially massless fields in (A)dSd is given in terms of gauge connections and linearized curvatures that take values in the irreducible representations of (o(d−1,2))o(d,1) described by two-row Young tableaux, in which the lengths of the first and second row are, respectively, associated with the spin and depth of partial masslessness.