What is the recommended resource for learning the basics of AdS/CFT?

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SUMMARY

The recommended resources for learning the basics of AdS/CFT, particularly AdS/CFT integrability, include Natsuume's "AdS/CFT Duality User Guide," which is praised for its pedagogic style and clarity. Other notable texts are Erdmenger's "Gauge/Gravity Duality" and Nastase's "Intro into AdS-CFT," both published by Cambridge University Press. Review papers by Beisert et al. provide valuable insights but may be complex for beginners. The discussion emphasizes the importance of a solid foundation in Quantum Field Theory (QFT), General Relativity (GR), and quantum integrability for effective learning.

PREREQUISITES
  • Quantum Field Theory (QFT) fundamentals, particularly the first 12 chapters of Peskin & Schroeder
  • General Relativity (GR) concepts, including Sean Carroll's notes and Wald's work
  • Basic understanding of quantum integrability
  • Familiarity with algebraic topology, functional analysis, and representation theory
NEXT STEPS
  • Read Natsuume's "AdS/CFT Duality User Guide" for an accessible introduction
  • Explore Erdmenger's "Gauge/Gravity Duality" for deeper insights into the subject
  • Study Nastase's "Intro into AdS-CFT" for foundational knowledge
  • Review the paper "Holographic duality with a view toward many-body physics" by John McGreevy for intuitive reasoning in AdS/CFT
USEFUL FOR

This discussion is beneficial for graduate students, theoretical physicists, and researchers interested in understanding AdS/CFT and its applications in quantum integrability and many-body physics.

Maybe_Memorie
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I'm looking to start learning the basics of AdS/CFT, in particular AdS/CFT integrability, over the summer before I start grad school. By the time I finish my undergrad I will have a good background in QFT (first 12 chapters of Peskin & Schroeder), GR (Sean Carroll's notes and Wald), quantum integrability (doing a research project in this area) as well as various pure maths subjects (relevant ones probably being algebraic topology, functional analysis and representation theory). I know a little CFT already but not much. I don't know any Super Yang Mills yet either.

I'm looking for everything I need to get acquainted with AdS/CFT. I've looked at the review papers by Beisert et al but the non-integrability stuff is a bit over my head. I'm guessing Strings are necessary. Please list any books, review papers etc I should look at. Thanks!
 
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This one is quite easy to read, but has not so much about integrability.

http://arxiv.org/abs/0909.0518
Holographic duality with a view toward many-body physics
John McGreevy
 
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I like that one. It has a lot of intuitive reasoning.
 
I've tried many introductions to AdS/CFT, including the ones mentioned above, but until recently neither of them really worked for me. They all created more confusion than understanding to me.

But a few days ago I discovered Natsuume's "AdS/CFT Duality User Guide", available both as a published book
https://www.amazon.com/dp/4431554408/?tag=pfamazon01-20
and a free arXiv paper
http://lanl.arxiv.org/abs/1409.3575
That was a true revelation! By rading Natsuume with his brilliant pedagogic style, now I finally start to really understand AdS/CFT. I strongly recommend it to all beginners in AdS/CFT, as the best existing introduction to the subject currently known to me. If you liked Zwiebach for string theory, there are good chances that you will equally like Natsuume for AdS/CFT.
 
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Demystifier said:
I've tried many introductions to AdS/CFT, including the ones mentioned above, but until recently neither of them really worked for me. They all created more confusion than understanding to me.

But a few days ago I discovered Natsuume's "AdS/CFT Duality User Guide", available both as a published book
https://www.amazon.com/dp/4431554408/?tag=pfamazon01-20
and a free arXiv paper
http://lanl.arxiv.org/abs/1409.3575
That was a true revelation! By rading Natsuume with his brilliant pedagogic style, now I finally start to really understand AdS/CFT. I strongly recommend it to all beginners in AdS/CFT, as the best existing introduction to the subject currently known to me. If you liked Zwiebach for string theory, there are good chances that you will equally like Natsuume for AdS/CFT.
I discovered it last week, I still haven't read through it, I have other books on my reading list.
 
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