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Electromagnetism contains an infinite dimensional symmetry group of largegauge transformations. This gives rise to an infinite number of conservedquantities called "soft charges" via Noether's theorem. When charged particlesscatter, the conservation of soft charge constrains the overall amount ofradiation emitted per angle. Here we describe the physical consequences of softcharge conservation and give fresh accounts of the roles of spacelike andtimelike infinity in these conservation laws. We conclude by exploring thepossibility of creating a dual boundary theory of electromagnetism.

From Noether's Theorem to Bremsstrahlung: a pedagogical introduction to large gauge transformations and classical soft theorems