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Related Experiment Videos

Topological solitons from deconstructed extra dimensions.

Christopher T Hill1

  • 1Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510, USA. hill@fnal.gov

Physical Review Letters
|January 22, 2002
PubMed
Summary
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Topological monopoles in 4+1 dimensions transform into gauged-bosonic Skyrmions in 3+1 dimensions. Spontaneous symmetry breaking further converts these into

Area of Science:

  • Theoretical Physics
  • High-Energy Physics
  • Condensed Matter Physics

Background:

  • Topological field configurations are crucial in understanding fundamental forces.
  • Yang-Mills gauge theories in higher dimensions present unique theoretical challenges.
  • Compactification techniques are used to relate theories in different dimensionalities.

Purpose of the Study:

  • To investigate the behavior of topological monopole-like field configurations when a higher dimension is compactified.
  • To identify novel solutions emerging in the low-energy effective theory after dimensional reduction.
  • To explore the transformation of these solutions under spontaneous symmetry breaking.

Main Methods:

  • Analysis of topological monopole solutions in 4+1 dimensional Yang-Mills theory.

Related Experiment Videos

  • Compactification of the extra dimension with periodic lattice boundary conditions.
  • Investigation of the low-energy effective theory and spontaneous symmetry breaking phenomena.

    • Main Results:

    • A topological monopole-like field configuration in 4+1 dimensions was identified.
    • Upon compactification to 3+1 dimensions, these configurations manifest as gauged-bosonic Skyrmions.
    • Spontaneous breaking of the low-energy theory leads to the transformation of gauged-bosonic Skyrmions into 't Hooft-Polyakov monopoles.

    Conclusions:

    • Dimensional compactification of topological monopoles yields novel gauged-bosonic Skyrmion solutions.
    • Spontaneous symmetry breaking plays a key role in the transition from Skyrmions to 't Hooft-Polyakov monopoles.
    • This study bridges concepts from topological field theory and particle physics phenomenology.