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Nonlinear supergravity on a brane without compactification

Chamblin1, Gibbons

  • 1DAMTP, Silver Street, Cambridge, CB3 9EW, United Kingdom.

Physical Review Letters
|October 4, 2000
PubMed
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Smooth domain wall spacetimes with scalar fields admit a single graviton bound state. This nonlinear supergravity analysis of the Randall-Sundrum model reveals Kaluza-Klein modes generating bulk singularities.

Area of Science:

  • Theoretical Physics
  • High Energy Physics
  • String Theory

Background:

  • Domain wall spacetimes are crucial in theoretical physics for understanding gravity and extra dimensions.
  • The Randall-Sundrum model provides a framework for warped extra dimensions.
  • Scalar fields play a significant role in constructing cosmological models and gravitational theories.

Purpose of the Study:

  • To investigate the existence of graviton bound states in smooth domain wall spacetimes.
  • To perform a fully nonlinear supergravity analysis of the Randall-Sundrum model.
  • To explore the implications of Kaluza-Klein modes and potential singularities.

Main Methods:

  • Analysis of smooth domain wall spacetimes supported by a scalar field.
  • Application of fully nonlinear supergravity techniques.

Related Experiment Videos

  • Investigation of solutions describing pp-wave propagation in domain wall backgrounds.
  • Examination of Bogomol'nyi-Prasad-Sommerfeld (BPS) states for supersymmetry preservation.

    • Main Results:

    • Demonstration of a single graviton bound state in these spacetimes.
    • Characterization of solutions as pp-waves in the domain wall background.
    • Identification of retained supersymmetry for BPS domain walls.
    • Discovery of Kaluza-Klein modes generating "pp curvature" singularities in the bulk.

    Conclusions:

    • Smooth domain wall spacetimes can support graviton bound states.
    • The Randall-Sundrum model, under nonlinear supergravity, exhibits complex bulk phenomena.
    • Singularities arise from Kaluza-Klein modes, impacting the spacetime structure near anti-de Sitter horizons.