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Over the last month or so, I have set it upon myself to teach myself the AdS/CFT correspondence. In particular, I am interested in the connection between black hole entropy and entanglement entropy in condensed matter systems. However, I really need to learn more about the more finer details of entanglement entropy and black hole thermodynamics before I dive into AdS/CFT. Therefore, any resources on these two subjects would be greatly appreciated.

To be precise, I am looking at books/articles/websites (preferably some open-access pdf) which assumes an understanding of Sakurai-level quantum mechanics, some quantum field theory and special relativity. I am also familiar with condensed matter field theory and second quantization, so it's okay if it assumes some former knowledge in these topics. I would prefer pedagogical texts, as comprehensive as possible and with a lot of questions.

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There are a lot of review articles and books on these topics. But most of them require some knowledge of basic General Relativity and QFT. For Black hole thermodynamics I found the reviews by Jacobson and Ross very useful.

On EE from vondensed matter (QFT) point of view there are papers by Cardy and others. But for those you need CFT background. Here is a "non-technical" article. You can look at the references there in, if you are interested.

For entanglement entropy of black holes probably the best article is this. You can find most of the useful references, which you are looking for, there.

I could give you more references but not sure they will be useful at all.

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  • $\begingroup$ Please give me any references you have on the subject--I'm sure they will be useful. Thanks for the references you've already included. $\endgroup$ – Joshuah Heath Jun 7 '15 at 17:17

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