Question

AdS/CFT: why is the fifth coordinate in AdS space inversely proportional to an energy scale?

Answer 1

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✔️✔️the fifth coordinate zz on the AdS side, in coordinates such that the AdS metric becomes:

ds2=L2z2(dt2−d(x1)2−d(x2)2−d(x3)2−dz2)ds2=L2z2(dt2−d(x1)2−d(x2)2−d(x3)2−dz2)

can be interpreted as an inverse energy scale for the 4D theory on the boundary, unfortunately the root article they link to, i.e. this review, states vacuously that this is clear from looking at the conformal transformations of Poincaré coordinates.

Can somebody clarify this a bit further Unfortunately, I'm not extremely familiar with conformal field theory and I'm just trying to get a global heuristic understanding of the correspondance for the moment so that I can understand the ideas behind a phenomenological AdS/QCD model I will working with.


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Answer 2

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