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| In ], the '''AdS/CFT correspondence''' is the equivalence between a ] (or a theory of ]) defined on one space (originally the product of ] (AdS) with some ] like ], ], or ]), and a ] (CFT) (or a ] without ]) defined on the conformal ] of this space, whose ] is lower by at least one. An example is the duality between ] defined on AdS<sub>5</sub> × ''S''<sup>5</sup> space (a product of five dimensional AdS space with a five dimensional ]) and a ] ''N''=4 ] ] defined on the 4-dimensional boundary of AdS<sub>5</sub>. It is the most successfully tested realization of the ], a speculative idea about ] originally proposed by ] and improved and promoted by ]. | In ], the '''AdS/CFT correspondence''' is the equivalence between a ] (or a theory of ]) defined on one space (originally the product of ] (AdS) with some ] like ], ], or ]), and a ] (CFT) (or a ] without ]) defined on the conformal ] of this space, whose ] is lower by at least one. An example is the duality between ] defined on AdS<sub>5</sub> × ''S''<sup>5</sup> space (a product of five dimensional AdS space with a five dimensional ]) and a ] ''N''=4 ] ] defined on the 4-dimensional boundary of AdS<sub>5</sub>. It is the most successfully tested realization of the ], a speculative idea about ] originally proposed by ] and improved and promoted by ]. | ||
| The AdS/CFT correspondence was originally proposed by ] in late ]. Some of its technical properties were soon clarified in an article by ] and another article by Gubser, ], and ]. The correspondence has also been generalized and applied to many other (non-AdS) backgrounds or (non-conformal) theories. In about five years, Maldacena's article had 3000 citations and became one of the most obvious conceptual breakthroughs in theoretical physics of the ], providing stark new insight into both quantum gravity and ]. | The AdS/CFT correspondence was originally proposed by ] in late ]. ] reportedly had similar ideas during an unpublished dream several months earlier. Some of its technical properties were soon clarified in an article by ] and another article by Gubser, ], and ]. The correspondence has also been generalized and applied to many other (non-AdS) backgrounds or (non-conformal) theories. In about five years, Maldacena's article had 3000 citations and became one of the most obvious conceptual breakthroughs in theoretical physics of the ], providing stark new insight into both quantum gravity and ]. | ||
| == See also == | == See also == | ||
Revision as of 07:43, 25 July 2006
In physics, the AdS/CFT correspondence is the equivalence between a string theory (or a theory of quantum gravity) defined on one space (originally the product of anti de Sitter space (AdS) with some closed manifold like sphere, orbifold, or noncommutative space), and a conformal field theory (CFT) (or a quantum field theory without gravity) defined on the conformal boundary of this space, whose dimension is lower by at least one. An example is the duality between Type IIB string theory defined on AdS5 × S space (a product of five dimensional AdS space with a five dimensional sphere) and a supersymmetric N=4 Yang-Mills gauge theory defined on the 4-dimensional boundary of AdS5. It is the most successfully tested realization of the holographic principle, a speculative idea about quantum gravity originally proposed by Gerard 't Hooft and improved and promoted by Leonard Susskind.
The AdS/CFT correspondence was originally proposed by Juan Maldacena in late 1997. Lubos Motl reportedly had similar ideas during an unpublished dream several months earlier. Some of its technical properties were soon clarified in an article by Edward Witten and another article by Gubser, Klebanov, and Polyakov. The correspondence has also been generalized and applied to many other (non-AdS) backgrounds or (non-conformal) theories. In about five years, Maldacena's article had 3000 citations and became one of the most obvious conceptual breakthroughs in theoretical physics of the 1990s, providing stark new insight into both quantum gravity and QCD.
See also
External links
- Large N Field Theories, String Theory and Gravity, arXiv:hep-th/9905111. The AdS/CFT "Bible" (261 pages of introductory text).
- The Large N Limit of Superconformal Field Theories and Supergravity, arXiv:hep-th/9711200.
- Karl-Henning Rehren, Lectures at Zlatibor Summer School on Modern Mathematical Physics (analyzes the standard QFT toy model of AdS/CFT).
- Review of HEP papers by SPIRES (2003).
- AdS/CFT correspondence on arxiv.org.
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