Projectors and seed conformal blocks for traceless mixed-symmetry tensors

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Costa, MS (Author) FCUP; Hansen, T (Author) Other; Joao Penedones (Author) FCUP; Trevisani, E (Author) Other

Journal

Title: Journal of High Energy Physics

Vol. 2016

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 62 Citations

Scopus - 63 Citations

Other information

Authenticus ID: P-00K-N8X

DOI: 10.1007/jhep07(2016)018

Abstract (EN): In this paper we derive the projectors to all irreducible SO(d) representations ( (t)raceless 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 48