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2024

Soft edges: the many links between soft and edge modes

Araujo-Regado, Goncalo, Hoehn, Philipp A., Sartini, Francesco et al.

Understand

Boundaries in gauge theory and gravity give rise to symmetries and charges at both finite and asymptotic distance.

Due to their structural similarities, it is often held that soft modes are some kind of asymptotic limit of edge modes.
Here, we show in Maxwell theory that there is an arguably more interesting relationship between the asymptotic symmetries and their charges, on one hand, and their finite-distance counterparts, on the other, without the need of a limit.
Key to this observation is to embed the finite region in the global spacetime and identify edge modes as dynamical $\rm{U}(1)$-reference frames for dressing subregion variables.