Breaking of supersymmetry through anomalies in composite spinor operators

Abstract

The BRS cohomology of Super-Yang-Mills coupled to chiral matter has non-trivial BRS cohomology, which leads to the conjecture that the local gauge-invariant and supersymmetric composite operators have anomalies in their renormalization. Since these operators are interpolating operators for bound states which are gauge-invariant and which ought naively to fall into supersymmetry multiplets, it follows that one expects supersymmetry to be broken in bound states by anomalies in a way that can be calculated in perturbation theory.