Abelian discrete symmetries ZN and ZnR from string orbifolds

2013/08/14 by Jihn E. Kim
Mathematics · Physics and Astronomy · #Abelian group #Algorithm #Archaeology #Black Holes and Theoretical Physics #Combinatorics #Dark Matter and Cosmic Phenomena #Gauge (firearms) #Geometry #History #Homogeneous space #Mathematical physics #Mathematics #Orbifold #Particle physics theoretical and experimental studies #Physics #Realization (probability) #Statistics #hep-ph #hep-th

paper · pdf · doi:10.1016/j.physletb.2013.08.039

8 pages, 2 figures, to appear in Phys. Letters B

arxiv created 2013/08/14 · openalex publication_date 2013/08/23 · arxiv updated 2015/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We show that Abelian discrete symmetries Z_N and Z_nR from string orbifolds result by assigning vacuum expectation values(VEVs) only to specified singlets. These singlets obtaining VEVs carry the gauge charges (of the covering U(1) gauge group) as multiples of N for Z_N and n for Z_nR. We explicitly show this realization in a Z_12-I orbifold model.

Citations

• R-symmetry breaking versus supersymmetry breaking
• A simple solution to the strong CP problem with a harmless axion
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• Large Hierarchies from ApproximateRSymmetries
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• Cosmology and broken discrete symmetry