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Related Experiment Videos

Anti-de Sitter Particles and Manifest (Super)Isometries.

Alex S Arvanitakis1, Alec E Barns-Graham1, Paul K Townsend1

  • 1Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.

Physical Review Letters
|April 22, 2017
PubMed
Summary

Quantization of a spin-zero particle action in anti-de Sitter (AdS) spacetime recovers the Breitenlohner-Freedman bound. This study extends these findings to superparticles in supersymmetric vacua, yielding a 128+128 component supermultiplet.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • String Theory

Background:

  • The study begins with the classical action for a spin-zero particle in D-dimensional anti-de Sitter (AdS) spacetime.
  • Previous constructions have explored the realization of isometry groups in AdS spacetimes.

Purpose of the Study:

  • To recover the Breitenlohner-Freedman bound through quantization.
  • To find a bitwistor form of the action where the AdS isometry group is linearly realized for specific dimensions and K values.
  • To extend these findings to superparticles in supersymmetric string/M-theory vacua and null strings.

Main Methods:

  • Quantization of the classical action for a spin-zero particle in AdS spacetime.
  • Analysis of the action in D=4, 5, 7 dimensions using Sl(2;K) spinor notation (K=R,C,H).

Related Experiment Videos

  • Extension of the formalism to maximally supersymmetric 'AdS×S' string or M-theory vacua and null strings.

    • Main Results:

    • The Breitenlohner-Freedman bound is recovered via quantization.
    • A bitwistor form of the action is identified, leading to linear realization of the AdS isometry group for D=4, 5, 7 (with specific mass conditions).
    • For zero mass and D=4, the conformal isometry group is linearly realized.
    • Quantization of the superparticle in supersymmetric vacua yields a 128+128 component supermultiplet.

    Conclusions:

    • The quantization procedure successfully reproduces the Breitenlohner-Freedman bound.
    • The bitwistor formulation provides a framework for linearly realized isometry groups in AdS spacetimes under specific conditions.
    • The results are successfully extended to supersymmetric and null string theories, indicating a unified approach.