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arXiv · 1608.04380

Anti-de Sitter particles and manifest (super)isometries

Alex S. Arvanitakis·Alec E. Barns-Graham·Paul K. Townsend
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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.

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Alex S. Arvanitakis, Alec E. Barns-Graham, Paul K. Townsend. 2017-04-01. Anti-de Sitter particles and manifest (super)isometries. https://doi.org/10.1103/physrevlett.118.141601

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