Action of the axial $U(1)$ non-invertible symmetry on the 't~Hooft line operator: A simple argument

Autor:	Honda, Yamato, Onoda, Soma, Suzuki, Hiroshi
Rok vydání:	2024
Předmět:	High Energy Physics - Lattice High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	Employing the modified Villain lattice formulation of the axion quantum electrodynamics, we present an alternative and much simpler derivation of the conclusion of~Ref.~\cite{Honda:2024sdz} that the sweep of the axial $U(1)$ non-invertible symmetry operator over the (non-genuine) gauge invariant 't~Hooft line operator with an integer magnetic charge does not leave any effect. The point is that such a 't~Hooft line can be represented by a boundary of a (non-topological) defect that is invariant under the axial transformation on the axion field. Comment: 15 pages, 1 figure. Added a note and an appendix. The final version to appear in PTEP
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.07669 Zobrazit plný text záznamu View this record from Arxiv