Constraints on discrete global symmetries in quantum gravity

Passant Ali, Astrid Eichhorn, Martin Pauly*, Michael M. Scherer

*Corresponding author for this work

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The question whether global symmetries can be realized in quantum-gravity-matter-systems has far-reaching phenomenological consequences. Here, we collect evidence that within an asymptotically safe context, discrete global symmetries of the form ℤn, n > 4, cannot be realized in a near-perturbative regime. In contrast, an effective-field-theory approach to quantum gravity might feature such symmetries, providing a mechanism to generate mass hierarchies in the infrared without the need for additional fine-tuning.

Original languageEnglish
Article number36
JournalJournal of High Energy Physics
Issue number5
Number of pages34
Publication statusPublished - May 2021

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© 2021, The Author(s).


  • Discrete Symmetries
  • Global Symmetries
  • Models of Quantum Gravity


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