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Related Experiment Videos

Anomaly-free brane worlds in seven dimensions.

Tony Gherghetta1, Alex Kehagias

  • 1School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA.

Physical Review Letters
|April 12, 2003
PubMed
Summary

This study details an orbifold compactification in seven-dimensional supergravity, revealing how anomaly cancellation dictates boundary properties and couplings in anti-de Sitter space.

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Area of Science:

  • Theoretical Physics
  • String Theory
  • Supergravity

Background:

  • Minimal seven-dimensional supergravity theory provides a framework for unifying fundamental forces.
  • Orbifold compactification is a key technique for reducing extra spatial dimensions in string theory.
  • Anti-de Sitter space is a theoretical construct with constant negative spacetime curvature.

Purpose of the Study:

  • To investigate an orbifold compactification of minimal seven-dimensional supergravity.
  • To analyze the structure of the vacuum and the role of branes.
  • To determine the implications of anomaly cancellation for gauge and gravitational properties.

Main Methods:

  • Performing an orbifold compactification of the seven-dimensional supergravity theory.
  • Analyzing the vacuum solution as a slice of anti-de Sitter space with specific brane configurations.
  • Applying the principles of gauge and gravitational anomaly cancellation.

Main Results:

  • The vacuum is identified as a slice of seven-dimensional anti-de Sitter space with six-branes at fixed points.
  • Anomaly cancellation imposes constraints on the gauge group and matter content on the boundaries.
  • Boundary gauge couplings are determined by the gravitational constant and Chern-Simons mass parameter.

Conclusions:

  • Orbifold compactification in this supergravity model leads to a specific vacuum structure.
  • Anomaly cancellation is crucial for consistency, dictating fundamental properties of the compactified theory.
  • The study provides a framework for understanding boundary effects and couplings in higher-dimensional theories.

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