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Duality and integrability: Electromagnetism, linearized gravity and massless higher spin gauge fields as bi-Hamiltonian systems

par Barnich, Glenn ;Troessaert, Cédric
Référence Journal of Mathematical Physics, 50, 4, page (042301-042301)
Publication Publié, 2008-12

Article révisé par les pairs

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Résumé :

In the reduced phase space of electromagnetism, the generator of duality rotations in the usual Poisson bracket is shown to generate Maxwell's equations in a second, much simpler Poisson bracket. This gives rise to a hierarchy of bi-Hamiltonian evolution equations in the standard way. The result can be extended to linearized Yang-Mills theory, linearized gravity, and massless higher spin gauge fields. © 2009 American Institute of Physics.