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U(1) gauging, continuous TQFTs, and higher symmetry structures

par Arbalestrier, Adrien ;Argurio, Riccardo ;Tizzano, Luigi
Référence SciPost Physics, 19, 2, 032
Publication Publié, 2025-08-01

Article révisé par les pairs

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Résumé :

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.