Exact accidental U(1) symmetries for the axion

@article{Darme2021ExactAU,
  title={Exact accidental U(1) symmetries for the axion},
  author={Luc Darm'e and Enrico Nardi},
  journal={Physical Review D},
  year={2021}
}
We study a class of gauge groups that can automatically yield a perturbatively exact PecceiQuinn symmetry, and we outline a model in which the axion quality problem is solved at all operator dimensions. Gauge groups belonging to this class can also enforce and protect accidental symmetries of the clockwork type, and we present a toy model where an ‘invisible’ axion arises from a single breaking of the gauge and global symmetries. 
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