On two pieces of folklore in the AdS/CFT duality

Details On two pieces of folklore in the AdS/CFT duality On two pieces of folklore in the AdS/CFT duality

2010-05-13

arxiv.org/abs/1005.2431v2

Phys.Rev.D82:046002,2010

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, ReVTeX4.1; v2: added discussion

Scientific paper

10.1103/PhysRevD.82.046002

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.

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