Two pieces of folklore in the AdS/CFT duality

Kengo Maeda, Makoto Natsuume, and Takashi Okamura
Phys. Rev. D 82, 046002 – Published 5 August 2010

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 Gubser-Klebanov-Polyakov-Witten relation gives a response function instead of a Green function. We explore this point in detail using the example of holographic superconductors. We point out that these points play a crucial role in interpreting the holographic London equation properly.

  • Received 20 May 2010

DOI:https://doi.org/10.1103/PhysRevD.82.046002

© 2010 The American Physical Society

Authors & Affiliations

Kengo Maeda*

  • Department of Engineering, Shibaura Institute of Technology, Saitama, 330-8570, Japan

Makoto Natsuume

  • KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization, Tsukuba, Ibaraki, 305-0801, Japan

Takashi Okamura

  • Department of Physics, Kwansei Gakuin University, Sanda, Hyogo, 669-1337, Japan

  • *maeda302@sic.shibaura-it.ac.jp
  • makoto.natsuume@kek.jp
  • tokamura@kwansei.ac.jp

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Issue

Vol. 82, Iss. 4 — 15 August 2010

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