Abstract
Starting from the classical action for a spin-zero particle in a -dimensional anti–de Sitter (AdS) spacetime, we recover the Breitenlohner-Freedman bound by quantization. For , 5, 7 and using an spinor notation for , we find a bitwistor form of the action for which the AdS isometry group is linearly realized, although only for zero mass when , 7 in agreement with previous constructions. For zero mass and the conformal isometry group is linearly realized. We extend these results to the superparticle in the maximally supersymmetric “” string or -theory vacua, showing that quantization yields a component supermultiplet. We also extend them to the null string.
- Received 23 August 2016
DOI:https://doi.org/10.1103/PhysRevLett.118.141601
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