I would like to inquire about references for the AdS/CFT correspondence in dimensions 3 and 2, namely between $AdS^3$ (and gravity there) and its 2-dimensional boundary at infinity (and CFT there).
Here are some constraints: if possible, I would like references that are Mathematician-friendly (or at least readable by someone who is familiar with the basics of QFT but without much depth), and I am mostly interested in the Riemannian signature case actually (or what Physicists call the Euclidean case). So actually, I am interested in a correspondence between gravity on hyperbolic 3-space $H^3$ and CFT on its sphere at infinity. I would be OK with something "formal" and not directly applicable to the "real world", so to speak. If someone knows of some references that could be useful, and not necessarily satisfying all my constraints, then please share them as well.
Edit: I thank everyone who has provided some references. I would like to make a little more precise what I am looking for. I am interested in references that explain what corresponds on the boundary to a configuration of $n$ electrons in the bulk. I am mostly interested in the special case where the bulk is 3-dimensional. I am particularly interested in references containing information and formulae on the relevant partition functions. I apologize for modifying my original post in this edit. I hope this makes it a little more precise what I am looking for.