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Peer-reviewedCC BYCommunications in Mathematical Physics

The Higher Structure of Symmetries of Axion-Maxwell Theory

4 affiliations
  1. 1Center for Geometry and Physics, Uppsala University, Box 480, 75106 Uppsala, Sweden
  2. 2Department of Mathematics, Uppsala University, Box 480, 75106 Uppsala, Sweden
  3. 3Department of Physics and Astronomy, Uppsala University, Box 516, 75120 Uppsala, Sweden
  4. 4Center for Cosmology and Particle Physics, New York University, 726 Broadway, New York, NY, 10003, USA

Abstract

Generalized symmetries of quantum field theories can be characterized by topological defects/operators organized into a higher category. In this paper we consider the Axion-Maxwell field theory in four dimensions and, building on the construction of its topological defects by Choi, Lam, Shao, Hidaka, Nitta and Yokokura, we discuss field theoretical methods to compute some aspects of the higher structure of such category. In particular, we determine explicitly the generalized F -symbols for the non-invertible electric 1-form symmetry of the theory. Along the way, we clarify various aspects of the bottom-up worldvolume approach towards the calculus of defects.

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BibTeX
@article{zotto2026higher,
  title = {{The Higher Structure of Symmetries of Axion-Maxwell Theory}},
  author = {Michele Del Zotto and Matteo Dell'acqua and Elias Riedel Gårding},
  journal = {Communications in Mathematical Physics},
  year = {2026},
  month = jul,
  doi = {10.1007/s00220-026-05671-9},
  url = {https://doi.org/10.1007/s00220-026-05671-9},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - The Higher Structure of Symmetries of Axion-Maxwell Theory
AU  - Michele Del Zotto
AU  - Matteo Dell'acqua
AU  - Elias Riedel Gårding
PY  - 2026
DA  - 2026/07/09
JO  - Communications in Mathematical Physics
DO  - 10.1007/s00220-026-05671-9
UR  - https://doi.org/10.1007/s00220-026-05671-9
AB  - Generalized symmetries of quantum field theories can be characterized by topological defects/operators organized into a higher category. In this paper we consider the Axion-Maxwell field theory in four dimensions and, building on the construction of its topological defects by Choi, Lam, Shao, Hidaka, Nitta and Yokokura, we discuss field theoretical methods to compute some aspects of the higher structure of such category. In particular, we determine explicitly the generalized F -symbols for the non-invertible electric 1-form symmetry of the theory. Along the way, we clarify various aspects of the bottom-up worldvolume approach towards the calculus of defects.
SN  - 0010-3616
SN  - 1432-0916
ER  -