On two pieces of folklore in the AdS/CFT duality
High Energy Physics - Theory
2010-12-06 v2 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1005.2431,
title = {On two pieces of folklore in the AdS/CFT duality},
author = {Kengo Maeda and Makoto Natsuume and Takashi Okamura},
journal= {arXiv preprint arXiv:1005.2431},
year = {2010}
}
Comments
11 pages, ReVTeX4.1; v2: added discussion