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Description
Large gauge transformations in gauge theories at null infinity, at all orders, pose a fundamental challenge. We present a geometric framework that resolves this problem by introducing boundary fields, naturally arising from extensions or reductions of structure groups in a fibre-bundle formalism, with a formal loop group acting at infinity. This construction provides an enlarged phase space on which large gauge transformations act canonically. We also give an explicit boundary action governing the edge mode dynamics and allowing for a first-principles derivation of an infinite hierarchy of soft charges. This picture offers a unified, geometrically transparent view of asymptotic symmetries, edge dynamics, and the algebraic structure of boundary modes.
