Duality and integrability: Electromagnetism, linearized gravity and massless higher spin gauge fields as bi-Hamiltonian systems
High Energy Physics - Theory
2009-05-12 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.0812.4668,
title = {Duality and integrability: Electromagnetism, linearized gravity and massless higher spin gauge fields as bi-Hamiltonian systems},
author = {Glenn Barnich and Cedric Troessaert},
journal= {arXiv preprint arXiv:0812.4668},
year = {2009}
}
Comments
10 pages Latex file, cosmetic changes, agrees with published version