Work

An N-independent tensor decomposition for SU(N)

Year: 2026

Type: article

Abstract: A bstract To facilitate a simultaneous treatment of an arbitrary number of colors in representation theory-based descriptions of QCD color structure, we derive an N -independent reduction of SU( N ) tensor products. To this end, we label each irreducible representation by a pair of Young diagrams, with parts acting on quarks and antiquarks. By combining this with a column-wise multiplication of Young diagrams, we generalize the Littlewood-Richardson rule for the product of two Young diagrams to the product of two Young diagram pairs, achieving a general- N decomposition.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep01(2026)129

Authors: Stefan Keppeler, Malin Sjodahl, Bernanda Telalovic

Institutions: University of Tübingen, Lund University, University of Copenhagen, University of Graz

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Villum Fonden, Liga Portuguesa Contra o Cancro

Award: G8543737702