Wigner 6 j symbols for SU(N)

Author(s)
Judith Alcock-Zeilinger, Stefan Keppeler, Simon Plätzer, Malin Sjodahl
Abstract

We study a class of SU(N) Wigner 6j symbols involving two fundamental representations and derive explicit formulas for all 6j symbols in this class. Our formulas express the 6j symbols in terms of the dimensions of the involved representations, and they are thereby functions of N. We view these explicit formulas as a first step toward efficiently decomposing SU(N) color structures in terms of group invariants.

Organisation(s)
Research Platform Erwin Schrödinger International Institute for Mathematics and Physics, Particle Physics
External organisation(s)
Eberhard Karls Universität Tübingen, Karl-Franzens-Universität Graz, Lund University
Journal
Journal of Mathematical Physics
Volume
64
No. of pages
27
ISSN
0022-2488
DOI
https://doi.org/10.1063/5.0131538
Publication date
02-2023
Peer reviewed
Yes
Austrian Fields of Science 2012
103019 Mathematical physics, 103034 Particle physics
ASJC Scopus subject areas
Statistical and Nonlinear Physics, Mathematical Physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/wigner-6-j-symbols-for-sun(9856d842-3fb1-44df-9fa1-f854e29b99fc).html