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Origin of family symmetries. (English) Zbl 1338.81403
Summary: Discrete (family) symmetries might play an important role in models of elementary particle physics. We discuss the origin of such symmetries in the framework of consistent ultraviolet completions of the standard model in field and string theory. The symmetries can arise due to special geometrical properties of extra compact dimensions and the localization of fields in this geometrical landscape. We also comment on anomaly constraints for discrete symmetries.

MSC:
81V22 Unified quantum theories
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T50 Anomalies in quantum field theory
83E15 Kaluza-Klein and other higher-dimensional theories
20C35 Applications of group representations to physics and other areas of science
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