A 2PN Fokker action, Hamiltonian and conserved charges for a scalar-interacting binary in (A)dS are derived, with the isometry algebra realized as a curvature-deformed Poincare algebra.
Massive spinning particle on anti-de Sitter space
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abstract
To 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.
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Derives manifestly covariant worldline actions for Poincaré and AdS particles from symplectic forms on coadjoint orbits via Hamiltonian constraints from isometry conditions.
Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.
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Post-Newtonian theory in de Sitter and anti-de Sitter spacetimes
A 2PN Fokker action, Hamiltonian and conserved charges for a scalar-interacting binary in (A)dS are derived, with the isometry algebra realized as a curvature-deformed Poincare algebra.
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Ab Initio Construction of Poincar\'e and AdS Particle
Derives manifestly covariant worldline actions for Poincaré and AdS particles from symplectic forms on coadjoint orbits via Hamiltonian constraints from isometry conditions.
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Embedding formalism for anti-de Sitter superspaces
Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.