Abstract
In this paper we derive the projectors to all irreducible SO(d) representations (traceless mixed-symmetry tensors) that appear in the partial wave decomposition of a conformal correlator of four stress-tensors in d dimensions. These projectors are given in a closed form for arbitrary length l 1 of the first row of the Young diagram. The appearance of Gegenbauer polynomials leads directly to recursion relations in l 1 for seed conformal blocks. Further results include a differential operator that generates the projectors to traceless mixed-symmetry tensors and the general normalization constant of the shadow operator.
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Costa, M.S., Hansen, T., Penedones, J. et al. Projectors and seed conformal blocks for traceless mixed-symmetry tensors. J. High Energ. Phys. 2016, 18 (2016). https://doi.org/10.1007/JHEP07(2016)018
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DOI: https://doi.org/10.1007/JHEP07(2016)018