Regular Article - Theoretical Physics
Spinning particle interacting with electromagnetic and antisymmetric gauge fields in anti-de Sitter space
NSC Kharkov Institute of Physics and Technology, Kharkov, 61108, Ukraine
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Accepted: 12 May 2019
Published online: 20 May 2019
Massless spinning particle model that interacts with electromagnetic and antisymmetric gauge fields in anti-de Sitter space-time is considered as a constrained Hamiltonian system. d-dimensional anti-de Sitter space-time is realized as a real projective manifold parametrized by the homogeneous coordinates. Classical constraints that generate in the presence of interactions minimal world-line supersymmetry algebra extended by the dilatations of the ambient-space homogeneous coordinates are found. Various representations of the Lagrangian of the spinning particle are obtained. Dirac quantization is shown to produce first- and second-order equations for the wave function of the spinning particle that are presented in the homogeneous, inhomogeneous and intrinsic coordinates of .
© The Author(s), 2019