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.