AdS/CFT correspondence

From Free net encyclopedia

In physics, the AdS/CFT correspondence is the equivalence between a string theory (or some other theory of quantum gravity like supergravity) defined on anti de Sitter space (AdS) (or the product of AdS with some closed manifold, orbifold, or noncommutative space), and a conformal field theory (CFT) defined on the conformal boundary of this AdS space, whose dimension is lower by one. An example is the duality between Type IIB string theory defined on AdS₅ × S⁵ 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, and its technical properties were soon elaborated and clarified in an article by Edward Witten and another article by Gubser, Klebanov, and Polyakov. 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

• Algebraic holography
• AdS/QCD
• Randall-Sundrum model

External links

• The Large N Limit of Superconformal Field Theories and Supergravity, Template:ArXiv.
• Large N Field Theories, String Theory and Gravity, Template:ArXiv. The AdS/CFT "Bible" (261 pages of introductory text).
• Karl-Henning Rehren, Lectures at Zlatibor Summer School on Modern Mathematical Physics (analyzes the standard QFT toy model of AdS/CFT)

Template:Quantum-stubcs:AdS/CFT de:AdS/CFT-Korrespondenz es:Correspondencia AdS/CFT