Projectors and seed conformal blocks for traceless mixed-symmetry tensors
Projectors and seed conformal blocks for traceless mixed-symmetry tensors
复制标题
用于无痕混合对称张量的投影仪和种子共形块
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Emilio Trevisani
中科院分区：
文献类型：
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作者：
M. Costa;Tobias Hansen;J. Penedones;Emilio Trevisani
本文导出了d维四个应力张量的共形相关器的部分波分解中出现的所有不可约SO(d)表示（无迹混合对称张量）的投影。对于杨氏图第一行的任意长度l1，这些投影仪以封闭形式给出。Gegenbauer多项式的出现直接导致了种子共形块在l1中的递归关系。进一步的结果包括生成无迹混合对称张量的投影的微分算子和阴影算子的一般归一化常数。
A bstractIn 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 l1 of the first row of the Young diagram. The appearance of Gegenbauer polynomials leads directly to recursion relations in l1 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.
影响因子：
5.4
作者：
F. Gliozzi;P. Liendo;M. Meineri;A. Rago
通讯作者：
F. Gliozzi;P. Liendo;M. Meineri;A. Rago