Patterns of remnant discrete symmetries

TL;DR

This paper studies how discrete symmetries emerge from U(1)^N theories after spontaneous symmetry breaking, offering geometric insights and methods to identify and simplify these symmetries, with applications in GUT and string models.

Contribution

It introduces a geometric approach to analyze and simplify remnant discrete symmetries from U(1)^N theories, aiding model building.

Findings

Provides a simple geometric method for understanding symmetry patterns.

Offers algorithms to identify and simplify discrete symmetries.

Discusses applications in GUT and string theory contexts.

Abstract

We analyze patterns of remnant discrete symmetries that arise from U(1)^N theories by spontaneous breaking. We describe a simple, geometrical way to understand these patterns and provide methods for identifying the discrete symmetries and bringing them to the simplest possible form. Applications in GUT and string model building are briefly discussed.