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Asymptotic symmetries of electromagnetism at spatial infinity

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

We analyse the asymptotic symmetries of Maxwell theory at spatial infinity through the Hamiltonian formalism. Precise, consistent boundary conditions are explicitly given and shown to be invariant under asymptotic angle-dependent $u(1)$-gauge transformations. These symmetries generically have non-vanishing charges. The algebra of the canonical generators of this infinite-dimensional symmetry with the Poincar\'e charges is computed. The treatment requires the addition of surface degrees of freedom at infinity and a modification of the standard symplectic form by surface terms. We extend the general formulation of well-defined generators and Hamiltonian vector fields to encompass such boundary modifications of the symplectic structure. Our study covers magnetic monopoles.

fields

gr-qc 1 hep-th 1

years

2026 1 2024 1

verdicts

UNVERDICTED 2

representative citing papers

Ti and Spi, Carrollian extended boundaries at timelike and spatial infinity

gr-qc · 2024-12-20 · unverdicted · novelty 6.0

Defines Ti and Spi extended boundaries from asymptotic metric data in Ashtekar-Romano asymptotically flat spacetimes, equipping them with Carrollian geometries that canonically match asymptotic symmetries and realize Strominger conditions via discrete symmetry restriction.

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