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

DOI10.1063/1.3104066zbMath1214.81142arXiv0812.4668OpenAlexW3103462684MaRDI QIDQ3650496

Cédric Troessaert, Glenn Barnich

Publication date: 14 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4668

zbMATH Keywords

integral equationsMaxwell equationsYang-Mills theorygravitationPoisson equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Electromagnetic theory (general) (78A25) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (2)

Dual actions for massless, partially-massless and massive gravitons in (A)dS ⋮ Abelian Ashtekar formulation from the ADM action

Cites Work

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• Conserved currents of massless fields of spin s ≥ ½
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System

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