# Duality and helicity: a symplectic viewpoint

3 CPT - E2 Géométrie, Physique et Symétries
CPT - Centre de Physique Théorique - UMR 7332
Abstract : 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.
Document type :
Journal articles

https://hal.archives-ouvertes.fr/hal-01359624
Contributor : Christian Duval <>
Submitted on : Friday, September 2, 2016 - 5:52:44 PM
Last modification on : Tuesday, September 24, 2019 - 1:17:40 AM

### Citation

M Elbistan, Christian Duval, Peter A. Horvathy, P. -M. Zhang. Duality and helicity: a symplectic viewpoint. Physics Letters B, Elsevier, 2016, 761, pp.265-268. ⟨10.1016/j.physletb.2016.08.041⟩. ⟨hal-01359624⟩

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