Conformal Field Theory intro.

  • #1
malawi_glenn
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Main Question or Discussion Point

Hello

Anyone got some introductory notes / books on Conformal Field Theory for someone who know Quantum Field Theory at the level of Peskin's book?

cheers
 

Answers and Replies

  • #2
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I highly recommend Ginsparg as an introductory set of notes:
http://arxiv.org/abs/hep-th/9108028

As a good second source, which you should keep aside (but is a little less detailed), try Schellekens notes:
http://www.nikhef.nl/~t58/lectures.html

In the end there is only one real Tome on conformal field theory, which is the book by Di Francesco, Mathieu and Senechal (title: Conformal Field Theory). But that will take you at least a whole year to read back-to-back. Do note that this book is about CFT - not about its applications (for instance, it hardly involves supersymmetry).

In the context of String theory you should also look for Polchinski, String Theory Vol 1.
 
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  • #3
malawi_glenn
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Hi and thank you! Yeah, a book with almost 900pages seems really cumbersome ;)
 
  • #4
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xepma makes a point however : it depends whether you want to study conformal field theory by itself, or if you have a specific application for it. There are numerous books on it in condensed matter field theory for instance.

A shorter review is in RMP Vol 34 num 3 (Jul 1962) page 442
 
  • #5
malawi_glenn
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Well I am mostly interested in its application to string theory AND condensed matter
 
  • #6
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For condensed matter, I have "Introduction to conformal invariance and its applications to critical phenomena" by Christe and Henkel (CUP 1993) (but as you know, I am no condensed matter aficionado, so there may be better references around)

Also, there is "Applied conformal field theory" by Ginsparg (Les Houches 1989)
 

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