Elements of Finite Order in Lie Groups and Discrete Gauge Symmetries

Abstract

We apply Kac's theory of elements of finite order (EFO) in Lie groups to the description of discrete gauge symmetries in various supersymmetric grand unified models. Taking into account the discrete anomaly cancellation conditions, we identify the EFO which generate certain matter parities in the context of the supersymmetric $SO(10)$ and $E_6$ models.

16 pages, TeX, McGill-94-23

References in corpus (3)

• Some Simple Criteria for Gauged R-parity
• More About Discrete Gauge Anomalies
• Discrete Gauge Symmetries in Supersymmetric Grand Unified Models

Cited by in corpus (2)

• Graded Contractions of Affine Kac-Moody Algebras
• Counting conjugacy classes of elements of finite order in exceptional Lie groups