Wigner 6 j symbols for SU(N) : Symbols with at least two quark-lines
(2023) In Journal of Mathematical Physics 64(2).- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4eff347a-1ee4-41ee-8da7-5b3452f5659e
- author
- Alcock-Zeilinger, Judith ; Keppeler, Stefan LU ; Plätzer, Simon LU and Sjodahl, Malin LU
- organization
- publishing date
- 2023
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Mathematical Physics
- volume
- 64
- issue
- 2
- article number
- 023504
- publisher
- American Institute of Physics (AIP)
- external identifiers
-
- scopus:85148757550
- ISSN
- 0022-2488
- DOI
- 10.1063/5.0131538
- language
- English
- LU publication?
- yes
- id
- 4eff347a-1ee4-41ee-8da7-5b3452f5659e
- date added to LUP
- 2023-03-16 09:32:13
- date last changed
- 2023-04-02 19:02:34
@article{4eff347a-1ee4-41ee-8da7-5b3452f5659e, abstract = {{<p>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.</p>}}, author = {{Alcock-Zeilinger, Judith and Keppeler, Stefan and Plätzer, Simon and Sjodahl, Malin}}, issn = {{0022-2488}}, language = {{eng}}, number = {{2}}, publisher = {{American Institute of Physics (AIP)}}, series = {{Journal of Mathematical Physics}}, title = {{Wigner 6 j symbols for SU(N) : Symbols with at least two quark-lines}}, url = {{http://dx.doi.org/10.1063/5.0131538}}, doi = {{10.1063/5.0131538}}, volume = {{64}}, year = {{2023}}, }