Massive spinning particle on anti-de Sitter space

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dc.creatorKuzenko, S. M.
dc.creatorLyakhovich, S. L.
dc.creatorSegal, A. Yu.
dc.creatorSharapov, A. A.
dc.date1995-09-12
dc.date.accessioned2026-07-07T04:21:27Z
dc.date.available2026-07-07T04:21:27Z
dc.descriptionTo describe a massive particle with fixed, but arbitrary, spin on $d=4$ anti-de Sitter space $M^4$, we propose the point-particle model with configuration space ${\cal M}^6 = M^{4}\times S^{2}$, where the sphere $S^2$ corresponds to the spin degrees of freedom. The model possesses two gauge symmetries expressing strong conservation of the phase-space counterparts of the second- and fourth-order Casimir operators for $so(3,2)$. We prove that the requirement of energy to have a global positive minimum $E_o$ over the configuration space is equivalent to the relation $E_o > s$, $s$ being the particle's spin, what presents the classical counterpart of the quantum massive condition. States with the minimal energy are studied in detail. The model is shown to be exactly solvable. It can be straightforwardly generalized to describe a spinning particle on $d$-dimensional anti-de Sitter space $M^d$, with ${\cal M}^{2(d-1)} = M^d \times S^{(d-2)}$ the corresponding configuration space.
dc.description23 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/9509062
dc.identifierhttp://arxiv.org/abs/hep-th/9509062
dc.identifierInt.J.Mod.Phys. A11 (1996) 3307-3330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54324
dc.subjectHigh Energy Physics - Theory
dc.titleMassive spinning particle on anti-de Sitter space
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