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, Universität Wien
- 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://ucris.univie.ac.at/portal/en/publications/wigner-6-j-symbols-for-sun(9856d842-3fb1-44df-9fa1-f854e29b99fc).html