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arXiv · 1603.05551

Projectors and seed conformal blocks for traceless mixed-symmetry tensors

Miguel S. Costa·Tobias Hansen·João Penedones·Emilio Trevisani
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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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Miguel S. Costa, Tobias Hansen, João Penedones, Emilio Trevisani. 2016-05-16. Projectors and seed conformal blocks for traceless mixed-symmetry tensors. https://doi.org/10.1007/jhep07(2016)018

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