Anti-de Sitter Particles and Manifest (Super)Isometries.
Physical Review Letters
American Physical Society
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Arvanitakis, A., Barns-Graham, A., & Townsend, P. (2017). Anti-de Sitter Particles and Manifest (Super)Isometries.. Physical Review Letters, 118 (141601), 141601-1-141601-5. https://doi.org/10.1103/PhysRevLett.118.141601
Starting from the classical action for a spin-zero particle in a D-dimensional anti-de 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 bitwistor form of the action for which the AdS isometry group is linearly realized, 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×S" string or M-theory vacua, showing that quantization yields a 128+128 component supermultiplet. We also extend them to the null string.
We acknowledge support from the UK Science and Technology Facilities Council (Grants No. ST/L000385/1 and No. ST/M50340X/1). A. S. A. also acknowledges support from the INFN, from Clare Hall College Cambridge, from DAMTP, from the Cambridge Philosophical Society, and from the Cambridge Trust.
Science and Technology Facilities Council (ST/M50340X/1)
External DOI: https://doi.org/10.1103/PhysRevLett.118.141601
This record's URL: https://www.repository.cam.ac.uk/handle/1810/264398