What Are the Best Introductory Resources on Conformal Field Theory?

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Discussion Overview

The discussion revolves around recommendations for introductory resources on Conformal Field Theory (CFT), particularly for individuals familiar with Quantum Field Theory at the level of Peskin's textbook. Participants explore various books and notes, considering both theoretical and applied aspects of CFT.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests introductory notes or books on CFT suitable for someone with a background in Quantum Field Theory.
  • Another participant recommends Ginsparg's notes as a primary resource and suggests Schellekens' notes as a secondary source, noting that Di Francesco, Mathieu, and Senechal's book is comprehensive but lengthy.
  • It is mentioned that Di Francesco et al.'s book focuses on CFT itself rather than its applications, such as supersymmetry.
  • A participant highlights the importance of context, suggesting that the choice of resources may depend on whether one is studying CFT in isolation or for specific applications.
  • One participant expresses interest in CFT applications to both string theory and condensed matter physics.
  • Another participant mentions "Introduction to conformal invariance and its applications to critical phenomena" by Christe and Henkel as a resource for condensed matter, while also referencing Ginsparg's "Applied conformal field theory."

Areas of Agreement / Disagreement

Participants do not reach a consensus on a single best resource, as preferences vary based on the intended focus of study (theoretical vs. applied). Multiple competing views on suitable resources remain present.

Contextual Notes

Some participants note the potential for better references in condensed matter, indicating that their suggestions may not encompass all available options.

malawi_glenn
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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
 
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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.
 
Last edited:
Hi and thank you! Yeah, a book with almost 900pages seems really cumbersome ;)
 
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
 
Well I am mostly interested in its application to string theory AND condensed matter
 
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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