DiscreteR-symmetry anomalies in heterotic orbifold models

2007/05/31 by Takeshi Araki, Kang-Sin Choi, Tatsuo Kobayashi +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.76.066006

published as Phys.Rev.D76:066006,2007 · 19 pages, no figure

arxiv created 2007/07/23 · openalex publication_date 2007/09/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 condition, indicating that these anomalies are canceled by the Green-Schwarz 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 Z₂ subgroup is unbroken, and it 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.

Citations

• String MSSM through flipped SU(5) from Z₁₂ orbifold
• Non-Abelian Discrete Flavor Symmetries
• Baryon triality and neutrino masses from an anomalous flavor U(1)
• Heterotic orbifold models on Lie lattice with discrete torsion
• Spontaneous CP violation and non-Abelian family symmetry in SUSY
• Supersymmetric Froggatt-Nielsen models with baryon- and lepton-number violation
• Geometric scaling in high-energy QCD at nonzero momentum transfer
• Fayet-Iliopoulos terms in string theory
• A Comment on Duality Transformations and (Discrete) Gauge Symmetries in Four-Dimensional Strings
• Anomalies of Discrete Symmetries and Gauge Coupling Unification