Action of the Axial U(1) Noninvertible Symmetry on the 't Hooft Line Operator: A Simple Argument

Y Honda, S Onoda, H Suzuki - Progress of Theoretical and …, 2024 - academic.oup.com
Employing the modified Villain lattice formulation of the axion quantum electrodynamics, we
present an alternative and much simpler derivation of the conclusion of Ref. that the sweep …

The Higher Structure of Symmetries of Axion-Maxwell Theory

M Del Zotto, M Dell'Acqua, ER Gårding - arxiv preprint arxiv:2411.09685, 2024 - arxiv.org
Symmetries of quantum field theories are characterized by topological defects/operators
organized into a higher category. In this paper we consider the Axion-Maxwell field theory in …

Gauging C on the Lattice

T Jacobson - arxiv preprint arxiv:2406.12075, 2024 - arxiv.org
We discuss general aspects of charge conjugation symmetry in Euclidean lattice field
theories, including its dynamical gauging. Our main focus is $ O (2)= U (1)\rtimes\mathbb {Z} …

Axion QED as a Lattice Gauge Theory and Non-Invertible Symmetry

Y Honda, O Soma, H Suzuki - arxiv preprint arxiv:2412.08142, 2024 - arxiv.org
We investigate the non-invertible symmetry associated with chiral symmetry in axion
quantum electrodynamics (QED) using the modified Villain formulation. In axion QED, it is …