SO ( 1 , d + 1 ) Racah coefficients: Type I representations

DOI10.1063/1.2180626zbMath1111.81078arXivmath-ph/0502017OpenAlexW1561430396MaRDI QIDQ3441660

Jorma Louko, Kirill V. Krasnov

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0502017

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Structure and representation of the Lorentz group (22E43)

Related Items (7)

Anomalous dimensions from crossing kernels ⋮ $d$-dimensional SYK, AdS loops, and $6j$ symbols ⋮ Weight shifting operators and conformal blocks ⋮ Holomorphic factorization for a quantum tetrahedron ⋮ On conformal blocks, crossing kernels and multi-variable hypergeometric functions ⋮ AdS weight shifting operators ⋮ Asymptotics of \(\mathrm{SL}(2,\mathbb{C})\) coherent invariant tensors

Cites Work

• Harmonic analysis on the \(n\)-dimensional Lorentz group and its application to conformal quantum field theory
• Anti de Sitter space and holography
• Simple spin networks as Feynman graphs
• On the Kronecker Products of Irreducible Representations of the 2 × 2 Real Unimodular Group. I
• (2 + 1)-dimensional quantum gravity, spin networks and asymptotics
• A Lorentzian signature model for quantum general relativity

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