The spin-\(1/2\) singleton dipole
type: Item
instance of: scholarly article
title: The spin-\(1/2\) singleton dipole
zbMATH Open document ID: 0623.35072
DOI: 10.1007/BF00402665
author: U. Percoco
published in: Letters in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: We establish a canonical formulation for a second-order wave equation for a spin-\(1/2\) field 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.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 83C35
zbMATH DE Number: 4011082
zbMATH Keywords: second-order wave equation
zbMATH Keywords: spin
zbMATH Keywords: de Sitter spacetime
zbMATH Keywords: surface terms
zbMATH Keywords: singleton dipole equation
zbMATH Keywords: field theory
zbMATH Keywords: Hamiltonian
MaRDI profile type: Publication
cites work: A Remarkable Representation of the 3 + 2 de Sitter Group
cites work: Supersymmetry in anti-de Sitter space
cites work: A new proof of the positive energy theorem.
cites work: Stability of gravity with a cosmological constant
full work available at URL: https://doi.org/10.1007/bf00402665
OpenAlex ID: W2079458345
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description: scientific article; zbMATH DE number 4011082