Abelian discrete symmetries Z_{N} and Z_{nR} from string orbifolds

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.

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

References in corpus (13)

• Stringy origin of non-Abelian discrete flavor symmetries
• The Heterotic Road to the MSSM with R parity
• Discrete R symmetries for the MSSM and its singlet extensions
• A unique Z_4^R symmetry for the MSSM
• Flipped SU(5) from Z_{12-I} orbifold with Wilson line
• Large hierarchies from approximate R symmetries
• Axinos as Dark Matter Particles
• Higher Order Couplings from Heterotic Orbifold Theory
• Patterns of remnant discrete symmetries
• Axionic dark energy and a composite QCD axion
• Approximate R-symmetries and the mu term
• Modification of Decay Constants of Superstring Axions: Effects of Flux Compactification and Axion Mixing
• Natural Higgs-flavor-democracy solution of the mu problem of supersymmetry and the QCD axion

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