Discrete Symmetries from Broken $SU(N)$ and the MSSM

Abstract

In order that discrete symmetries should not be violated by gravitational effects, it is necessary to gauge them. In this paper we discuss the gauging of ${\mathbb{Z}}_N$ from the breaking of a high energy $SU(N)$ gauge symmetry, and derive consistency conditions for the resulting discrete symmetry fr om the requirement of anomaly cancellation in the parent symmetry. These results are then applied to a detailed analysis of the possible discrete symmetries forbidding proton decay in the minimal supersymmetric standard model.

14 pages, plain TEX, computer problems fixed since first version

Cited by in corpus (7)

• Walking in the SU(N)
• Supersymmetry without R-Parity and without Lepton Number
• Implications of Horizontal Symmetries on Baryon Number Violation in Supersymmetric Models
• Dynamical Stabilization of the Fermi Scale: Phase Diagram of Strongly Coupled Theories for (Minimal) Walking Technicolor and Unparticles
• Classification of compactified $su(N_c)$ gauge theories with fermions in all representations
• Double-winding Wilson loops in the $SU(N)$ Yang-Mills theory
• The Smallest SU($N$) Hadrons