Editing Conformal field theory (section)

{{Short description|Quantum field theory enjoying conformal symmetry}}
A '''conformal field theory''' ('''CFT''') is a [[quantum field theory]] that is [[Invariant (physics)|invariant]] under [[conformal map|conformal transformations]]. In [[two-dimensional geometry|two]] [[dimension]]s, there is an infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified.

Conformal field theory has important applications<ref>[[Paul Ginsparg]] (1989), ''Applied Conformal Field Theory''. {{arxiv|hep-th/9108028}}. Published in ''Ecole d'Eté de Physique Théorique: Champs, cordes et phénomènes critiques/Fields, strings and critical phenomena'' (Les Houches), ed. by [[E. Brézin]] and [[J. Zinn-Justin]],  Elsevier Science Publishers B.V.</ref> to [[condensed matter physics]], [[statistical mechanics]], [[quantum statistical mechanics]], and  [[string theory]]. Statistical and condensed matter systems are indeed often conformally invariant at their [[critical point (thermodynamics)|thermodynamic]] or [[quantum critical point]]s.