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Duality and helicity: a symplectic viewpoint

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arxiv 1608.01131 v1 pith:THTYXWAE submitted 2016-08-03 math-ph hep-thmath.MP

Duality and helicity: a symplectic viewpoint

classification math-ph hep-thmath.MP
keywords dualityhelicitysymplecticequationsmaxwellvacuumactingassociated
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The theorem which says that helicity is the conserved quantity associated with the duality symmetry of the vacuum Maxwell equations is proved by viewing electromagnetism as an infinite dimensional symplectic system. In fact, it is shown that helicity is the moment map of duality acting as an $SO(2)$ group of canonical transformations on the symplectic space of all solutions of the vacuum Maxwell equations.

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    hep-th 2026-07 conditional novelty 5.0

    A metric-compatible covariant variation of tensors has a non-closure anomaly that reproduces electromagnetic helicity flux under superrotations and generalizes to higher-spin and p-form radiative data.