Work

Where non-invertible symmetries end: twist defects for electromagnetic duality

Year: 2026
Type: article
Abstract: A bstract We study novel conformal twist defects in 4d Maxwell theory, around which electric and magnetic fields are exchanged. These are codimension-2 defects living at the end of topological defects for certain non-invertible global symmetries. We determine the operator spectrum of the twist defect by solving classical electromagnetic wave equations subject to a twisted boundary condition. Using techniques from defect CFT, we show that correlation functions of these defect operators factorize into two sectors: a universal generalized free-field sector, and a chiral current sector analogous to edge modes in Chern-Simons theory. In a similar setup, we also revisit the twist fields attached to non-invertible line defects in the 2d compact boson CFT. We discuss a defect ’t Hooft anomaly involving a chiral O (2) symmetry, highlighting its dynamical implications.
Language: English
Open Access status: diamond
OpenAlex ID: W7125978002
FWCI: 5.763
Cites: 110
Cited by: 2
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