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

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arxiv 2209.15013 v1 pith:KNKRLGSB submitted 2022-09-29 hep-ph hep-lathep-thmath-phmath.MP

Judith Alcock-Zeilinger , Stefan Keppeler , Simon Plätzer , Malin Sjodahl This is my paper
classification hep-phhep-lathep-thmath-phmath.MP
keywords symbolsformulaeclassexplicitrepresentationstermswignercolor
verification ladder T0 review T1 audit T2 compute T3 formal
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We study a class of SU(N) Wigner 6j symbols involving two fundamental representations, and derive explicit formulae for all 6j symbols in this class. Our formulae express the 6j symbols in terms of the dimensions of the involved representations, and they are thereby functions of N. We view these explicit formulae as a first step towards efficiently decomposing SU(N) color structures in terms of group invariants.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An $N$-independent tensor decomposition for SU($N$)

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A new column-based Littlewood-Richardson algorithm decomposes products of SU(N) representations labeled by Young diagram pairs, valid simultaneously for all N.

  2. All-gluon amplitudes with off-shell recursion in multiplet bases

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A new off-shell recursion in orthogonal multiplet bases computes all-gluon tree-level color-summed squared amplitudes with estimated O(17^n) complexity, beating the factorial scaling of trace and color-flow bases.

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