The notes for my class on Kaluza-Klein reduction are a bit all over the place and at times it's difficult to follow what's going on. (I plan on asking a specific question about an example later).

For now, are there any resources that introduce Kaluza-Klein reduction with some worked examples, apart from the simple Minkowski space with a circle attached. I'd like to see some explicit examples where we have a higher dimensional torus for example.

A treatment including supergravity would be a plus.

  • 1
    $\begingroup$ How about any ol' string book: Compactifications are everywhere! $\endgroup$
    – Danu
    Jan 28 '16 at 11:18
  • $\begingroup$ Did you had a look at this one KALUZA-KLEIN SUPERGRAVITY? (and references therein) $\endgroup$
    – floqui
    Jan 28 '16 at 12:02
  • $\begingroup$ Chis Pope's notes are very useful - people.physics.tamu.edu/pope/ihplec.pdf $\endgroup$
    – John Doe
    Apr 14 '16 at 0:57
  • $\begingroup$ Try going to the source! Read their papers. There is a book by Peter Bergmann in GR, in Dover print (cheap), and there is an appendix on K-K theory that derives everything from scratch. Another is the Dawning of Gauge Theory by O'Raifeartaigh $\endgroup$
    – user196418
    Apr 1 '20 at 23:17

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