Scale and quality of Peccei-Quinn symmetry and weak gravity conjectures

Abstract

The promising solution to the strong CP problem by a Peccei-Quinn (PQ) symmetry may introduce quality and hierarchy problems, which are both relevant to Planck physics. In this paper, we study whether both problems can be explained by introducing a simple hidden gauge group that satisfies a weak gravity conjecture (WGC) or its variant. As a concrete example, we point out that a weakly-coupled hidden $SU(N)$ gauge symmetry, which is broken down to $SO(N)$, can do this job in the context of a Tower/sub-Lattice WGC. Cosmology is discussed.

19 pages; v2: references and discussion added, typos corrected, conclusions unchanged

References in corpus (9)

• Symmetries and Strings in Field Theory and Gravity
• The landscape of QCD axion models
• The Weak Gravity Conjecture in three dimensions
• Portal Connecting Dark Photons and Axions
• Relaxing the Cosmological Moduli Problem by Low-scale Inflation
• Resonant conversions of QCD axions into hidden axions and suppressed isocurvature perturbations
• Stochastic Axion Dark Matter in Axion Landscape
• A proof of the weak gravity conjecture
• QCD Axion Window and False Vacuum Higgs Inflation

Cited by in corpus (18)

• Kilobyte Cosmic Birefringence from ALP Domain Walls
• The Axion Quality Problem: Global Symmetry Breaking and Wormholes
• Strong CP problem and axion dark matter with small instantons
• Post-inflationary axions: a minimal target for axion haloscopes
• High-quality axions in solutions to the $\mu$ problem
• Axion Quality Problem Alleviated by Non-Minimal Coupling to Gravity
• Thermal production of cold "hot dark matter" around eV
• Induced Domain Walls of QCD Axion, and Gravitational Waves
• Axion model with the $\mathrm{SU}(6)$ unification
• Probing a light dark sector at future lepton colliders via invisible decays of the SM-like and dark Higgs bosons
• Baryon Asymmetric Universe from Spontaneous CP Violation
• Qualities of axion and LSP in Pati-Salam unification with $Z_4^R\times Z_N$ symmetry
• Peccei-Quinn Symmetry Breaking via Asymptotically Safe Dynamical Scalegenesis: A Walking Axicolor and Axion
• The axion flavour connection
• Hidden Photon and Axion Dark Matter from Symmetry Breaking
• Gauge coupling jump and small instantons from a large non-minimal coupling
• Axions at the meV Crossroads: Theory, Cosmology, Astrophysics, and Experiments
• Uncovering an Axion Mechanism with the EDM Portfolio