TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.2.032
TI  - U(1) gauging, continuous TQFTs, and higher symmetry structures
PY  - 2025/08/12
UR  - https://www.scipost.org/SciPostPhys.19.2.032
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 2
SP  - 032
A1  - Arbalestrier, Adrien
AU  - Argurio, Riccardo
AU  - Tizzano, Luigi
AB  - Quantum field theories can exhibit various generalized symmetry structures, among which higher-group symmetries and non-invertible symmetry defects are particularly prominent. In this work, we explore a new general scenario in which these two structures are intertwined. This phenomenon arises in four dimensions when gauging one of multiple $U(1)$ 0-form symmetries in the presence of mixed 't Hooft anomalies. We illustrate this with two distinct models that flow to an IR gapless phase and a gapped phase, respectively, and examine how this symmetry structure manifests in each case. Additionally, we investigate a five-dimensional model where a similar structure exists intrinsically. Our main tool is a symmetry TQFT in one higher dimension, formulated using non-compact gauge fields and having infinitely many topological operators. We carefully determine its boundary conditions and provide a detailed discussion on various dressing choices for its bulk topological operators.
ER  -

@Article{10.21468/SciPostPhys.19.2.032,
	title={{U(1) gauging, continuous TQFTs, and higher symmetry structures}},
	author={Adrien Arbalestrier and Riccardo Argurio and Luigi Tizzano},
	journal={SciPost Phys.},
	volume={19},
	pages={032},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.2.032},
	url={https://scipost.org/10.21468/SciPostPhys.19.2.032},
}