Projectors and seed conformal blocks for traceless mixed-symmetry tensors

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016

Autores

Costa, MS (Autor) FCUP; Hansen, T (Autor) Outra; Joao Penedones (Autor) FCUP; Trevisani, E (Autor) Outra

Revista

Título: Journal of High Energy Physics

Vol. 2016

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 62 Citações

Scopus - 63 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 48