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PreprintCC BY 4.0arXiv

Non-Invertible Charges for M-Theory

Abstract

The gauge charges of M-theory M2 and M5 branes almost resemble the charges of a 6-group. The charges of such a 6-group are expected to be modeled by operators with non-invertible fusion. We here consider non-invertible charge defects for continuous 2-groups and 6-groups, aiming to capture the gauge charges of M2 and M5 branes. We find a model for charges of a "pseudo 6-group" frakG which possesses remarkable similarities with known features of M2 and M5 branes, including: Hanany-Witten moves, the frakaN−1 charges, higher-form symmetry, and singleton decomposition of M5-brane worldvolume theories, and couplings of M5/anti-M5 states.

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BibTeX
@misc{intriligator2026noninvertible,
  title = {{Non-Invertible Charges for M-Theory}},
  author = {Kenneth Intriligator and Aiden Sheckler and Eric Y. Yang},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00196},
  eprint = {2611.00196},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00196},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Non-Invertible Charges for M-Theory
AU  - Kenneth Intriligator
AU  - Aiden Sheckler
AU  - Eric Y. Yang
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00196
UR  - https://arxiv.org/abs/2611.00196
AB  - The gauge charges of M-theory M2 and M5 branes almost resemble the charges of a 6-group. The charges of such a 6-group are expected to be modeled by operators with non-invertible fusion. We here consider non-invertible charge defects for continuous 2-groups and 6-groups, aiming to capture the gauge charges of M2 and M5 branes. We find a model for charges of a "pseudo 6-group" frakG which possesses remarkable similarities with known features of M2 and M5 branes, including: Hanany-Witten moves, the fraka_N−1 charges, higher-form symmetry, and singleton decomposition of M5-brane worldvolume theories, and couplings of M5/anti-M5 states.
ER  -