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PreprintCC BY 4.0arXiv

Non-invertible symmetries in the axiverse, and the imaginary wormholes

  • Daniele Licciardello
  • Luca Martucci
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Abstract

We study the symmetry structure of four-dimensional axiverse effective field theories with multiple axions coupled to abelian gauge sectors, including their extensions to broad classes of N=1 models. We identify the invertible and non-invertible generalized symmetries, and discuss the associated symmetry-breaking mechanisms together with the resulting hierarchies of energy scales. In particular, we discuss the quantum-gravitational breaking of non-invertible axion shift symmetries predicted by the existence of wormholes and the recently proposed Imaginary Distance Bound. In N=1 axiverses, these wormhole-based arguments imply that towers of BPS EFT instantons play a distinguished role and generate infinitely many superpotential terms.

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Cite

BibTeXRIS
BibTeX
@misc{licciardello2026noninvertible,
  title = {{Non-invertible symmetries in the axiverse, and the imaginary wormholes}},
  author = {Daniele Licciardello and Luca Martucci},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.26004},
  eprint = {2606.26004},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.26004},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Non-invertible symmetries in the axiverse, and the imaginary wormholes
AU  - Daniele Licciardello
AU  - Luca Martucci
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2606.26004
UR  - https://arxiv.org/abs/2606.26004
AB  - We study the symmetry structure of four-dimensional axiverse effective field theories with multiple axions coupled to abelian gauge sectors, including their extensions to broad classes of N=1 models. We identify the invertible and non-invertible generalized symmetries, and discuss the associated symmetry-breaking mechanisms together with the resulting hierarchies of energy scales. In particular, we discuss the quantum-gravitational breaking of non-invertible axion shift symmetries predicted by the existence of wormholes and the recently proposed Imaginary Distance Bound. In N=1 axiverses, these wormhole-based arguments imply that towers of BPS EFT instantons play a distinguished role and generate infinitely many superpotential terms.
ER  -