Supersymmetric QCD from noncommutative geometry

Abstract

We derive supersymmetric quantum chromodynamics from a noncommutative spin manifold. We extend the model of Chamseddine and Connes that leads to the Einstein–Yang–Mills action and apply the spectral action principle to derive the Lagrangian of supersymmetric QCD, including soft supersymmetry breaking (negative sign) mass terms for the squarks. We find that these results are in good agreement with the physics literature.