Nonanomalous discrete R symmetry decrees three generations

Jason L. Evans, Masahiro Ibe, John Kehayias, Tsutomu T. Yanagida

Research output: Contribution to journalArticle

12 Scopus citations


We show that more than two generations of quarks and leptons are required to have an anomaly free discrete R symmetry larger than R parity, provided that the supersymmetric standard model can be minimally embedded into a grand unified theory. This connects an explanation for the number of generations with seemingly unrelated problems such as supersymmetry breaking, proton decay, the μ problem, and the cosmological constant through a discrete R symmetry. We also show that three generations is uniquely required by a nonanomalous discrete R symmetry in classes of grand unified theories such as the ones based on (semi)simple gauge groups.

Original languageEnglish (US)
Article number181801
JournalPhysical review letters
Issue number18
StatePublished - Nov 2 2012

Fingerprint Dive into the research topics of 'Nonanomalous discrete R symmetry decrees three generations'. Together they form a unique fingerprint.

  • Cite this

    Evans, J. L., Ibe, M., Kehayias, J., & Yanagida, T. T. (2012). Nonanomalous discrete R symmetry decrees three generations. Physical review letters, 109(18), [181801].