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Main Authors: Shimizu, Keito, Sugishita, Sotaro
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.27870
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author Shimizu, Keito
Sugishita, Sotaro
author_facet Shimizu, Keito
Sugishita, Sotaro
contents We revisit electric and magnetic surface charges and edge modes in four-dimensional Maxwell theory and QED on a spacetime with a finite spatial boundary. Using the S-wall, which implements electromagnetic duality, we clarify the dual structure of surface charges. We show that, for the standard Neumann and Dirichlet boundary conditions, large gauge transformations and the corresponding shifts of edge modes are gauge redundancies rather than physical boundary symmetries. We also consider singular large gauge transformations and interpret them as insertions of Wilson or 't Hooft loops on the boundary. For modified boundary conditions, we show that large gauge transformations can become genuine physical boundary symmetries generated by topological surface operators, and that the corresponding edge modes can become physical. We further construct new boundary conditions that are electromagnetic duals of the modified boundary conditions.
format Preprint
id arxiv_https___arxiv_org_abs_2605_27870
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Revisiting boundary electromagnetic duality and edge modes
Shimizu, Keito
Sugishita, Sotaro
High Energy Physics - Theory
We revisit electric and magnetic surface charges and edge modes in four-dimensional Maxwell theory and QED on a spacetime with a finite spatial boundary. Using the S-wall, which implements electromagnetic duality, we clarify the dual structure of surface charges. We show that, for the standard Neumann and Dirichlet boundary conditions, large gauge transformations and the corresponding shifts of edge modes are gauge redundancies rather than physical boundary symmetries. We also consider singular large gauge transformations and interpret them as insertions of Wilson or 't Hooft loops on the boundary. For modified boundary conditions, we show that large gauge transformations can become genuine physical boundary symmetries generated by topological surface operators, and that the corresponding edge modes can become physical. We further construct new boundary conditions that are electromagnetic duals of the modified boundary conditions.
title Revisiting boundary electromagnetic duality and edge modes
topic High Energy Physics - Theory
url https://arxiv.org/abs/2605.27870