Discrete R-symmetry anomalies in heterotic orbifold models

Abstract

Anomalies of discrete R-symmetries appearing in heterotic orbifold models are studied. We find that the mixed anomalies for different gauge groups satisfy the universal Green-Schwarz (GS) condition, indicating that these anomalies are canceled by the GS mechanism. An exact relation between the anomaly coefficients of the discrete R-symmetries and one-loop beta-function coefficients is obtained. We also find that the discrete R-symmetries have a good chance to be unbroken down to the supersymmetry breaking scale. Even below this scale a $Z_2$ subgroup is unbroken, which may be an origin of the R-parity of the minimal supersymmetric standard model. Relations between the R-symmetry anomalies and T-duality anomalies are also investigated.

19 pages, no figure

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• (Non-)Abelian discrete anomalies
• Anomaly Induced Dark Matter Decay and PAMELA/ATIC Experiments
• Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries
• Grand Unification in the Heterotic Brane World
• The landscape of promising non-supersymmetric string models
• Stringy surprises