On two pieces of folklore in the AdS/CFT duality
arXiv:1005.2431 · doi:10.1103/PhysRevD.82.046002
Abstract
In the AdS/CFT duality, it is often said that a local symmetry in a bulk theory corresponds to a global symmetry in the corresponding boundary theory, but the global symmetry can become local when one couples with an external source. As a result, the GKP-Witten relation gives a response function instead of a Green function. We explore this point in details using the example of holographic superconductors. We point out that these points play a crucial role to interpret the holographic London equation properly.
11 pages, ReVTeX4.1; v2: added discussion
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- Critical phenomena in the AdS/CFT duality
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