AdS/CFT duality maps string theory to conformal field theory. String theory confirms Bekenstein-Hawking entropy, and thus the dual CFT must confirm it. However, CFT is still a quantum field theory, with entropic calculations technically turning out to be infinite without cutoff and scaling with volume.
I tried looking at some introductions, but in the middle of discussing holographic entanglement entropy, they all seem to introduce some "cutoff" without justifications, and thus I had to stop reading.
Also, some magic seems to occur by doing "holographic lift" that solves volume-scaling problem. Is this scaling problem resolved to area-scaling because of special nature of conformal field theory relative to quantum field theory?
If cut-off is necessary, how justified is that? Does this mean that nature described in CFT-or-QFT does have fundamental cutoff?