Holography and the AdS/CFT Correspondence

  • Horaţiu NăstaseEmail author
Part of the Fundamental Theories of Physics book series (FTPH, volume 197)


In this chapter, we will describe the AdS/CFT correspondence, which relates a gravity theory, usually in an Anti-de Sitter (AdS) \(d+1\) dimensional background to a field theory with conformal invariance (CFT) in d dimensions, living at a boundary of the space. Therefore the correspondence is an example of a holographic relation, the gravitational physics in the bulk being described holographically (“projected” without losing information) onto the non-gravitational boundary of one dimension less. The AdS/CFT correspondence will be used later on, in part III, for constructing cosmological models. In order to understand that, we will describe the AdS/CFT map for fields and observables.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Instituto de Física Teórica, UNESPSão PauloBrazil

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