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Finding the standard model of particle physics a combinatorial problem

2005/03/11 by Jan-Hendrik Jureit, Jan-H. Jureit, Christoph A. Stephan
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Noncommutative and Quantum Gravity Theories #Random Matrices and Applications #hep-th #physics.comp-ph

paper · pdf · doi:10.1016/j.cpc.2007.02.115

published as Comput.Phys.Commun.178:230-247,2008

arxiv created 2005/03/11 · openalex publication_date 2007/10/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a combinatorial problem which consists in finding irreducible Krajewski diagrams from finite geometries. This problem boils down to placing arrows into a quadratic array with some additional constrains. The Krajewski diagrams play a central role in the description of finite noncommutative geometries. They allow to localise the standard model of particle physics within the set of all Yang-Mills-Higgs models.

Citations