Editing Conformal field theory (section)

=== AdS/CFT correspondence ===
{{main|AdS/CFT correspondence}}
Conformal field theories play a prominent role in the [[AdS/CFT correspondence]], in which a gravitational theory in [[anti-de Sitter space]] (AdS) is equivalent to a conformal field theory on the AdS boundary. Notable examples are ''d''&nbsp;=&nbsp;4, [[N = 4 supersymmetric Yang–Mills theory|''N'' = 4 supersymmetric Yang–Mills theory]], which is dual to [[Type IIB string theory]] on AdS<sub>5</sub>&nbsp;×&nbsp;''S''<sup>5</sup>, and ''d''&nbsp;=&nbsp;3, ''N''&nbsp;=&nbsp;6 super-[[Chern–Simons theory]], which is dual to [[M-theory]] on AdS<sub>4</sub>&nbsp;×&nbsp;''S''<sup>7</sup>. (The prefix "super" denotes [[supersymmetry]], ''N'' denotes the degree of [[extended supersymmetry]] possessed by the theory, and ''d'' the number of space-time dimensions on the boundary.)