Anti-de Sitter particles and manifest (super)isometries

Abstract

Starting from the classical action for a spin-zero particle in a D-dimensional anti-Sitter (AdS) spacetime, we recover the Breitenlohner-Freedman bound by quantization. For D=4,5,7, and using an Sl(2;K) spinor notation for K=R,C,H, we find a bi-twistor form of the action for which the AdS isometry group is linearly realised, although only for zero mass when D=4,7, in agreement with previous constructions. For zero mass and D=4, the conformal isometry group is linearly realized. We extend these results to the superparticle in the maximally supersymmetric "AdS x S" string/M-theory vacua, showing that quantization yields a 128+128 component supermultiplet. We also extend them to the null string.

arXiv comment5 pages. 5 pp. Version to be published. Includes various minor corrections and additions, and some additional references

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• Embedding formalism for $\mathcal{N}$-extended AdS superspace in four dimensions
• Multitwistor mechanics of massless superparticle on $Ad{S}_5\times S^5$ superbackground
• Twistor description of spinning particles in AdS
• Embedding formalism for $(p,q)$ AdS superspaces in three dimensions
• Coset construction of AdS particle dynamics
• Pauli-Lubanski, Supertwistors, and the Superspinning Particle
• Oscillator approach to quantization of $Ad{S}_5\times S^5$ superparticle in twistor formulation
• A no-go theorem for the $n$-twistor description of a massive particle
• Massless spinning particle and null-string on $Ad{S}_d$: projective-space approach
• A Weyl-invariant action for chiral strings and branes
• Actions for particles and strings and Chern-Simons gravity