Conformal Boundary
A suitable Weyl transformation assures that AdS has a conformal boundary. It turns out that this boundary supports a conformal field theory having one fewer dimension. To make things more concrete, choose a particular coordinatization, the half-space coordinatization:
After a Weyl transformation ω = kz, we get
which has the Minkowski metric as the boundary at z = 0. This is called the conformal boundary.
Read more about this topic: AdS/CFT Correspondence
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