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Wigner 6 j symbols for SU(N) : Symbols with at least two quark-lines

Alcock-Zeilinger, Judith ; Keppeler, Stefan LU ; Plätzer, Simon LU and Sjodahl, Malin LU (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:
author
; ; and
organization
publishing date
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}},
}