Particle What are some introductory texts for extra dimensions and branes?

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The discussion centers on finding introductory resources for understanding extra dimensions in the context of a BSM course. The original poster seeks material covering topics such as KK-reduction, compactification on an orbifold, interactions in four dimensions, gauge fields, fermions in five dimensions, and large extra dimensions. A recommended resource is Chris Pope's lecture notes, which detail dimensional reduction from D=11 supergravity to D=10 and explore reductions on an n-torus. However, these notes do not cover orbifolds or interactions. For understanding fermions in five dimensions, the book by Freedman and van Proeyen is suggested, particularly for its detailed treatment of Rarita-Schwinger fields and dimensional reduction. The discussion highlights the need for more pedagogical resources on certain topics, particularly orbifolds and gauge fields.
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Hello all

I hope you can help me with this query. I would like to find an introductory text in extra dimensions. I am taking a course in BSM and I have been referred to: C. Csaki, TASI lectures on extra dimensions and branes, hep-ph/0404096, but I was hoping to find something more introductory.
The material I'm hoping to find (what was covered in the lectures) is:
  • KK-reduction (scalar field)
  • Compactification on an interval (orbifold S1/Z2)
  • Interactions (briefly. How does the phi fourth and phi cube couplings look like in 4D)
  • Gauge fields (how you can get a scalar from a gauge field)
  • Fermions in 5D (how to get a chiral theory in 4D).
  • Large extra dimensions
I specially have trouble assimilating the orbifold concept and the gauge fields parts. Do you know any text I can use to backup my notes?

Thank you for your attention.
Regards.
 
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A lot of the information on KK-reduction can be gathered from Chris Pope's lecture notes. http://people.physics.tamu.edu/pope/ihplec.pdf

He explicitly performs a dimensional reduction from D=11 sugra to D=10 over a circle.
Next he also looks at reductions on an n-torus which shows the cascading effect of extra fields showing up.

He doesn't treat orbifolds, interactions (which is quite disconnected in this list as they are toy-models in regular QFT).
Same for fermions in 5D and large extra dimensions.

For a lot of the latter material I'm unaware of detailed, pedagogical resources.
Fermions in 5D should be doable by yourself, I enjoyed the approach in the book by Freedman and van Proeyen which really builds up towards sugra.
In chapter 5 (maybe 6) they look at Rarita-Schwinger fields in great detail before looking at dimensional reduction of all ingredients introduced before.
 
JorisL said:
A lot of the information on KK-reduction can be gathered from Chris Pope's lecture notes. http://people.physics.tamu.edu/pope/ihplec.pdf

He explicitly performs a dimensional reduction from D=11 sugra to D=10 over a circle.
Next he also looks at reductions on an n-torus which shows the cascading effect of extra fields showing up.

He doesn't treat orbifolds, interactions (which is quite disconnected in this list as they are toy-models in regular QFT).
Same for fermions in 5D and large extra dimensions.

For a lot of the latter material I'm unaware of detailed, pedagogical resources.
Fermions in 5D should be doable by yourself, I enjoyed the approach in the book by Freedman and van Proeyen which really builds up towards sugra.
In chapter 5 (maybe 6) they look at Rarita-Schwinger fields in great detail before looking at dimensional reduction of all ingredients introduced before.

Thank you, I will take a look at it!
 
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