Learning N=4 SYM: Where to Start?

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In summary, the best place to begin learning N=4 SYM would be to start with standard QFT texts that cover topics such as ghosts, Fadeev-Popov quantization, BRST, gauge fixing, spontaneous symmetry breaking, and the Higgs mechanism. Once these concepts are understood, one can move on to SUSY with the classic reference being the paper by Nilles. Additionally, searching the ArXiv or Inspire for AdS/CFT will provide a lot of references for the application of N=4 SYM to heavy-ion physics.
  • #1
Maybe_Memorie
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I'm looking to start learning N=4 SYM. I know QFT at the level of the first two sections of Peskin and Schroeder, up the the renormalization group stuff. I don't know any Yang Mills or Supersymmetry. What is the best place to begin? Looking for books or arxiv notes.

Thanks
 
  • #3
Search the ArXiv or Inspire for AdS/CFT. You'll get a lot of references for the application to heavy-ion physics. As an introduction, have a look at this one by Maldacena:

http://arxiv.org/abs/hep-th/0309246
 
  • #4
You should learn Yang-Mills thoroughly before delving into SUSY. Basically any standard QFT text will do the trick. You should know things like ghosts/Fadeev-Popov quantization, BRST/gauge fixing, spontaneous symmetry breaking, Higgs mechanism etc. before trying to learn SUSY if you want to learn the latter properly and comfortably. As for SUSY itself, the classic reference is: http://arxiv.org/pdf/hep-ph/9709356v6.pdf
 

1. What is N=4 SYM?

N=4 supersymmetric Yang-Mills theory (SYM) is a type of quantum field theory that describes the interactions between particles and their corresponding fields. It is a highly theoretical and complex topic that has applications in mathematics, particle physics, and string theory.

2. Why is it important to learn N=4 SYM?

Learning N=4 SYM can provide a deeper understanding of fundamental concepts in physics, such as gauge theory, supersymmetry, and quantum field theory. It also has potential applications in various areas, including condensed matter physics, cosmology, and string theory.

3. Where should I start when learning N=4 SYM?

It is recommended to have a solid foundation in quantum mechanics, classical mechanics, and electromagnetism before delving into N=4 SYM. Familiarity with concepts in group theory, differential geometry, and special relativity would also be helpful. Some suggested starting points include introductory textbooks, online lectures, and research papers.

4. What are some challenges when learning N=4 SYM?

N=4 SYM is a highly theoretical topic that requires a strong mathematical background and a good understanding of advanced physics concepts. It can also be challenging to find accessible resources and to keep up with the latest developments in the field.

5. How can I apply my knowledge of N=4 SYM?

There are various potential applications of N=4 SYM in different fields of physics, such as in the study of high-energy particle collisions, black holes, and string theory. It can also be used to model and understand complex systems in condensed matter physics, such as superconductors and topological insulators.

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