Projectors and seed conformal blocks for traceless mixed-symmetry tensors
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Publication:1638889
DOI10.1007/JHEP07(2016)018zbMATH Open1388.81798arXiv1603.05551MaRDI QIDQ1638889
Author name not available (Why is that?)
Publication date: 12 June 2018
Published in: (Search for Journal in Brave)
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 of the first row of the Young diagram. The appearance of Gegenbauer polynomials leads directly to recursion relations in 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.
Full work available at URL: https://arxiv.org/abs/1603.05551
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