Abstract
We establish a canonical formulation for a second-order wave equation for a spin-1/2field in a 3+2 de Sitter spacetime. We make variations of the Lagrangian, keeping the surface terms that appear in the process. By demanding that the surface terms be finite, we find that the second-order wave equation must be a singleton dipole equation. The resulting field theory exhibits a very interesting dynamics on the boundary. We study the Hamiltonian of the system and we discover that, after imposing the ‘Lorentz condition’, it reduces to an integral over a two-dimensional surface at spatial infinity.
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Percoco, U. The spin- 21 singleton dipole. Letters in Mathematical Physics 12, 315–322 (1986). https://doi.org/10.1007/BF00402665
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DOI: https://doi.org/10.1007/BF00402665