AdS/CFT Correspondence - Conformal Boundary

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.

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