Discrete Abelian gauge symmetries and axions

Abstract

We combine two popular extensions of beyond the Standard Model physics within the framework of intersecting D6-brane models: discrete Zn symmetries and Peccei-Quinn axions. The underlying natural connection between both extensions is formed by the presence of massive U(1) gauge symmetries in D-brane model building. Global intersecting D6-brane models on toroidal orbifolds of the type T6/Z2N and T6/Z2xZ2M with discrete torsion offer excellent playgrounds for realizing these extensions. A generation-dependent Z2 symmetry is identified in a global Pati-Salam model, while global left-right symmetric models give rise to supersymmetric realizations of the DFSZ axion model. In one class of the latter models, the axion as well as Standard Model particles carry a non-trivial Z3 charge.

Contribution to the proceedings of DISCRETE2014; 13 pages

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• Discrete gauge groups in certain F-theory models in six dimensions
• D6-Brane Model Building on Z(2)xZ(6): MSSM-like and Left-Right Symmetric Models
• Dark matter and dark radiation from the early universe with a modulus coupled to the PQMSSM
• K3 surfaces without section as double covers of Halphen surfaces, and F-theory compactifications
• QCD Axion as a Bridge Between String Theory and Flavor Physics
• MSSM from F-theory SU(5) with Klein Monodromy
• F-theory models with $U(1)\times {\mathbb{Z}}_2,{\mathbb{Z}}_4$ and transitions in discrete gauge groups
• Discrete symmetries from hidden sectors
• Deformations, Moduli Stabilisation and Gauge Couplings at One-Loop
• Massless Spectra and Gauge Couplings at One-Loop on Non-Factorisable Toroidal Orientifolds
• Phenomenological implications of a minimal F-theory GUT with discrete symmetry
• Axions in Type IIA Superstring Theory and Dark Matter
• Deformations on Tilted Tori and Moduli Stabilisation at the Orbifold Point