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

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dc.creatorBarnich, Glenn
dc.creatorTroessaert, Cedric
dc.date2008-12-26
dc.date2009-04-09
dc.date.accessioned2026-07-07T13:13:24Z
dc.date.available2026-07-07T13:13:24Z
dc.descriptionIn 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.
dc.description10 pages Latex file, cosmetic changes, agrees with published version
dc.identifierhttps://arxiv.org/abs/0812.4668
dc.identifierhttp://arxiv.org/abs/0812.4668
dc.identifierJ.Math.Phys.50:042301,2009
dc.identifierdoi:10.1063/1.3104066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229875
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleDuality and integrability: Electromagnetism, linearized gravity and massless higher spin gauge fields as bi-Hamiltonian systems
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