Can Witten's Trick Apply to Any Number of Extra Dimensions?

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SUMMARY

Witten's trick for interpreting massless particles in 4+n dimensions as massive particles in 4 dimensions is applicable specifically to scenarios involving Kaluza-Klein theories. The discussion centers on whether this trick is limited to the case of 4+n=10 dimensions or if it can be generalized to any number of extra dimensions. The reference to Witten's work, particularly "Search for a Realistic Kaluza-Klein Theory," provides a foundational basis for understanding the implications of this trick in higher-dimensional theories.

PREREQUISITES
  • Understanding of Kaluza-Klein theory
  • Familiarity with higher-dimensional physics
  • Knowledge of massless and massive particle dynamics
  • Basic grasp of Edward Witten's contributions to theoretical physics
NEXT STEPS
  • Research the implications of Kaluza-Klein theory in string theory
  • Study the role of extra dimensions in modern theoretical physics
  • Examine Witten's publications for deeper insights into his methodologies
  • Explore the mathematical framework behind massless and massive particle interpretations
USEFUL FOR

Theoretical physicists, researchers in string theory, and students of advanced particle physics will benefit from this discussion, particularly those interested in the implications of extra dimensions and Kaluza-Klein theories.

arivero
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I have remembered Witten had a trick to see massless particles in 4+n dimensions as if it were massive particles in 4 dimensions.

Does the trick works for any number of extra dimensions? Or only for 4+n=10?
 
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I think the trick was in
"Search for a Realistic Kaluza-Klein Theory"
Edward Witten (Princeton U.) . PRINT-81-00
http://www.slac.stanford.edu/spires/find/hep/www?j=NUPHA,B186,412
 
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