Duality and integrability: Electromagnetism, linearized gravity and massless higher spin gauge fields as bi-Hamiltonian systems
نویسندگان
چکیده
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. Research Director of the Fund for Scientific Research-FNRS (Belgium). Research Fellow of the Fund for Scientific Research-FNRS (Belgium). 2 BARNICH, TROESSAERT
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