Anti-de Sitter Particles and Manifest (Super)Isometries.
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Peer-reviewed
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Authors
Arvanitakis, AS
Barns-Graham, AE
Townsend, PK
Abstract
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.
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Keywords
0206 Quantum Physics
Journal Title
Physical Review Letters
Conference Name
Journal ISSN
0031-9007
1079-7114
1079-7114
Volume Title
118
Publisher
American Physical Society
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Sponsorship
Science and Technology Facilities Council (ST/L000385/1)
Science and Technology Facilities Council (ST/M50340X/1)
Science and Technology Facilities Council (ST/M50340X/1)
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.