Birdtracks of Exotic SU(N) Color Structures

Thorsten Ohl (University of W\"urzburg)

Birdtracks of Exotic SU(N) Color Structures

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arxiv 2403.04685 v4 pith:GA7FXQEY submitted 2024-03-07 hep-ph hep-thmath-phmath.MP

Thorsten Ohl (University of Würzburg) This is my paper

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keywords exoticfieldsinteractionsbirdtrackscolorcompleteconstructingerrors

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I introduce a systematic procedure for constructing complete and independent sets of interactions of fields transforming under exotic representations of SU(N), in particular the SU(3) gauge group of QCD. It uncovers errors in previous results, starting with interactions of four fields including a single sextet.

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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.

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