Mathematical formulation of Kaluza-Klein theory

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SUMMARY

The mathematical formalism for a rigorous formulation of Kaluza-Klein theory encompasses various frameworks, including classical field theory, quantum field theory, and string theory. The theory is characterized by the presence of compact extra dimensions, which are integral to its structure. For comprehensive understanding and references, the Wikipedia article on Kaluza-Klein theory serves as a valuable resource, particularly the citations listed at the end.

PREREQUISITES
  • Understanding of classical field theory
  • Familiarity with quantum field theory
  • Knowledge of string theory concepts
  • Comprehension of compact extra dimensions
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Good morning, what is the mathematical formalism used for a rigorous formulation of the Kaluza-Klein theory? Is there any reference? Thanks!
 
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Just about any theory with compact extra dimensions is a Kaluza-Klein theory. So it could be a classical field theory, a quantum field theory, or a string theory. Take a look at the Wikipedia article, especially the references at the end.
 

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