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I have some months in my hand before i head to graduate school. I would like to learn and strengthen my grasp on mathematical physics. I would like to do high energy physics (not necessarily just string theory but other approaches to quantum gravity as well) in the future. I could get my hands on a copy of nakahara and thus the question. If there were any other more suitable book to learn this subject i would be grateful for your recommendation.

If anyone has worked with this book, I would like to know the important topics present here typically covered in a graduate school in a semester or two. Thank you :)

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closed as primarily opinion-based by Qmechanic Aug 5 at 17:52

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  • $\begingroup$ Hi Vera, welcome to Physics Stack Exchange. You might have a read of this page containing many links: physics.stackexchange.com/q/12175 $\endgroup$ – StudyStudy Aug 5 at 17:22
  • $\begingroup$ If you have time, you might try watching these lectures youtube.com/playlist?list=PLPH7f_7ZlzxTi6kS4vCmv4ZKm9u8g5yic, I think you can use them with Nakahara's book, to get a sequence of topics and so on. By the way, there is also a course "Math for QFT" on PIRSA ( perimeterinstitute.ca/video-library/collection/psi-2018/…), disjoint from this one, which might be useful for you. $\endgroup$ – user1620696 Aug 5 at 17:23
  • $\begingroup$ I found it difficult to understand the motivation of the homology groups. Nowaday if I would start again, I would read Shlomo Sternbergs Course of Mathematics for Students of Physics Volume 2 first. Then you need un understanding of differential geomtry (maybe Spivak) and path integral. Personally for me the only comprehensible book on path integrals is Ashok Das 'Field theory a path integral approach). Of course Nakahara is not really a high energy physics book. And if you mean by high energy physics string theory, you should study a lot of QFT and CFT. $\endgroup$ – lalala Aug 5 at 18:37