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In this paper we derive the projectors to all irreducible SO(d)representations (traceless mixed-symmetry tensors) that appear in the partialwave decomposition of a conformal correlator of four stress-tensors in ddimensions. These projectors are given in a closed form for arbitrary length$l_1$ of the first row of the Young diagram. The appearance of Gegenbauerpolynomials leads directly to recursion relations in $l_1$ for seed conformalblocks. Further results include a differential operator that generates theprojectors to traceless mixed-symmetry tensors and the general normalizationconstant of the shadow operator.

Projectors and seed conformal blocks for traceless mixed-symmetry tensors