Operator state mapping in Conformal Field Theory

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Discussion Overview

The discussion revolves around the topic of operator state mapping in conformal field theory (CFT), focusing on recommendations for reading materials suitable for someone with a basic understanding of field theory. Participants explore different resources and their applicability based on the user's goals.

Discussion Character

  • Homework-related, Conceptual clarification

Main Points Raised

  • One participant requests suggestions for reading materials on operator state mapping in CFT, indicating a need for resources that provide detailed explanations.
  • Another participant recommends the book by Di Francesco as a comprehensive resource on CFT, referring to it as the "bible" on the subject.
  • A link to lecture notes by David Tong is provided, suggesting that they may be a more accessible starting point for understanding the topic.
  • A participant notes that the depth of material to cover depends on the intended application of the mapping, suggesting that Tong's notes may suffice for applications like AdS/CFT, while more general applications would require deeper engagement with Di Francesco's work.
  • It is suggested that Tong's notes are less formalism-heavy, which may be beneficial for beginners.

Areas of Agreement / Disagreement

Participants generally agree on the value of the recommended resources, but there is no consensus on the specific depth of material needed, as it varies based on individual goals and applications.

Contextual Notes

Limitations include the assumption that the reader has only elementary knowledge of field theory, which may affect their ability to engage with the recommended texts fully. The discussion does not resolve how much of Di Francesco's work is necessary for a comprehensive understanding.

Who May Find This Useful

This discussion may be useful for students or researchers in theoretical physics, particularly those interested in conformal field theory and its applications.

kau
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can anyone suggest any good reading material on operator state mapping in conformal field theory? I know only elementary field theory... So it might be helpful ifsomeone suggest a book where it is done in little detailed way..
 
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As usual for Conformal field theory, the relevant material is almost assuredly found in the bible on the subject by Di Francesco.
You can also review the following lecture notes online by David Tong:
http://www.damtp.cam.ac.uk/user/tong/string/four.pdf (page 99+)
 
ok.thanks for your suggestion. can you tell me exactly how far i should cover to understand it in order to understan this mapping.. since that book is a very big in volume... thanks..
 
It depends of course on what you want to use it for. If you need to understand the mapping for its applications in something like Ads/CFT, then Tong's lecture notes should suffice, if you are interested in the far more general applications then you'll have to read through the relevant material/sections in Di Francesco. I'd try Tong's notes first, (and there are plenty of other intros/review articles on CFTS) as its a little less formalism rich.
 

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