Before I read the papers on the numerical solutions of the 3d Ising model (such as the work of El Showk et. al) I would like to know a bit more about the correspondende between the 3d Ising model and conformal field theory, in specific the field content, the scaling dimensions, correlation functions etc (I would like to see why they are what they are rather than a list as shown in the work I include above).

Therefore, are there any good introductory references for the 3d Ising model and CFT? I am quite familiar with the 2d case and its solution (also there are many references available for this) so I am only interested in 3d.