resource recommendations - Standard references in (holographic) entanglement entropy literature (Part 1)

While writing a paper, I am wondering as to what are the standard references that one refers to for these various facts about entanglement entropy. I want to know as to what are the papers one should cite for these facts and beliefs,

(like historically who are the people to be credited for these ideas)

1. 
   

   (the basic definition)

   
   

   $\rho_A = - Tr_B [ \rho]$ and then the von-Neumann entropy corresponding to $\rho_A$ is $S_A = - Tr_A [\rho_A log \rho_A]$

   
   


2. 
   

   (the idea of "universal" term)

   
   

   That when entanglement entropy is evaluated in any QFT then it has non-singular (believed to be "universal") parts which are believed to be independent of the regularization prescription and are believed contain data about a nearby CFT ("critical point").

   
   


3. 
   

   (EE in $1+1$ CFT)

   
   
   

   For $1+1$ CFTs if the system $A$ is a system of length $x$ and $B$ is the complement of that in the full real line then one can show that $S= \frac{c}{3}log \frac{x}{a}$ where $a$ is a short-distance cut-off and $c$ is the central charge (the universal data!) of the CFT.

   
   


4. 
   

   (EE of perturbation in $1+1$ CFT)

   
   

   If in a $1+1$ CFT one perturbs away from the critical point then $S = {\cal A}\frac{c}{6}log \frac{ \xi}{a}$ where $\cal{A}$ is the number of boundary points of $A$ and $\xi$ is the correlation length. (..one is imagining the $A$ and the $B$ to be composed to intervals whose length is larger than $\xi$..)

   
   


5. 
   

   (conjecture about EE in $1+(d>1)$ CFT)

   
   

   For CFTs in dimensions $1+(d>1)$ it is conjectured that the leading contribution to the entanglement entropy $S$ takes the form of what is called the "area law" as in, $S = f(a)\frac{\cal{A} }{ a^{d-1}}$ where $\cal{A}$ is the area of the boundary of the region $A$ and and $f$ is some function of the short-distance cut-off $a$.