Topological violation of global symmetries in quantum gravity

@article{Yonekura2021TopologicalVO,
  title={Topological violation of global symmetries in quantum gravity},
  author={Kazuya Yonekura},
  journal={Journal of High Energy Physics},
  year={2021}
}
  • Kazuya Yonekura
  • Published 24 November 2020
  • Physics
  • Journal of High Energy Physics
Abstract We discuss a topological reason why global symmetries are not conserved in quantum gravity, at least when the symmetry comes from compactification of a higher form symmetry. The mechanism is purely topological and does not require any explicit breaking term in the UV Lagrangian. Local current conservation does not imply global charge conservation in a sum over geometries in the path integral. We explicitly consider the shift symmetry of an axion-like field which originates from the… 
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