Finding the Standard Model of Particle Physics, A Combinatorial Problem
arXiv:hep-th/0503085 · doi:10.1016/j.cpc.2007.02.115
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.