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

Judith Alcock-Zeilinger; Stefan Keppeler; Simon Plätzer; Malin Sjodahl

doi:10.1063/5.0131538

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

Judith Alcock-Zeilinger, Stefan Keppeler, Simon Plätzer, Malin Sjodahl

Particle and nuclear physics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	023504
Journal	Journal of Mathematical Physics
Volume	64
Issue number	2
DOIs	https://doi.org/10.1063/5.0131538
Publication status	Published - 2023

Subject classification (UKÄ)

Mathematical Analysis
Subatomic Physics

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10.1063/5.0131538

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

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.",

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year = "2023",

doi = "10.1063/5.0131538",

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volume = "64",

journal = "Journal of Mathematical Physics",

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publisher = "American Institute of Physics (AIP)",

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AU - Alcock-Zeilinger, Judith

AU - Keppeler, Stefan

AU - Plätzer, Simon

AU - Sjodahl, Malin

PY - 2023

Y1 - 2023

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AB - 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.

U2 - 10.1063/5.0131538

DO - 10.1063/5.0131538

M3 - Article

AN - SCOPUS:85148757550

SN - 0022-2488

VL - 64

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 2

M1 - 023504

ER -

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

Abstract

Subject classification (UKÄ)

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