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Now if I want to show that some other space time is asymptotically AdS, I should expect the metric to agree in the limit $\rho \to -\infty$ which is the limit $z\to 0$. Is that right? Yes, this is correct. In this limit the leadin order of the metric components should agree with the pure AdS metric. There is however a more mathematically sound way of ...


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This question touches some very interesting conceptual questions in AdS/CFT that are often omitted in presentations of the holographic dictionary. So what is the usual story of the holographic dictionary (considering a free scalar first in the Euclidean setting for simplicity first) There is a bulk scalar field with an equation of motion ...


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Try here for background into the derivation of the AdS/CFT correspondence and also this thesis for an excellent introduction to the correspondance with regards to symmetry breaking. Further to this, try these slides outlining the motivations and also providing a good reading list.


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I can recommend these lecture notes, which discuss many prerequisites for understanding the correspondence in a concise yet accessible way.


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This is a very broad question and therefore impossible to answer completely, but I will try to answer some questions and refer to some literature. Your statement of the AdS/CFT correspondence was not quite complete: Type IIb string theory on asymptotically $AdS_5\times S^5$ is equivalent to $\mathcal{N}=4$ super Yang-Mills theory In the limit of large ...



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