AdS/CFT correspondence

E26862

conjecture in theoretical physics duality holographic duality physical theory

The AdS/CFT correspondence is a conjectured duality in theoretical physics that equates a gravity theory in anti-de Sitter space with a conformal field theory on its boundary, providing a powerful framework for understanding quantum gravity and strongly coupled quantum field theories.

Aliases (6)

AdS/QCD models ×1
Anti-de Sitter Space and Holography ×1
Maldacena duality ×1
The Large N Limit of Superconformal Field Theories and Supergravity ×1
gauge/gravity duality ×1
holographic principle ×1

Statements (50)

Predicate	Object
instanceOf	conjecture in theoretical physics → duality → holographic duality → physical theory →
alsoKnownAs	Maldacena duality → gauge/gravity duality →
appliesTo	anti-de Sitter space → conformal field theories →
basedOn	holographic principle →
coreIdea	bulk gravitational dynamics encoded in boundary quantum field theory → equivalence between a d-dimensional CFT and a (d+1)-dimensional gravity theory →
dimensionRelation	AdS bulk has one higher spatial dimension than boundary CFT →
field	conformal field theory → high-energy physics → quantum gravity → string theory → theoretical physics →
furtherDevelopedBy	Alexander Polyakov → Edward Witten → Igor Klebanov → Steven Gubser →
hasImportantPaper	Anti-de Sitter Space and Holography → Gauge Theory Correlators from Non-Critical String Theory → The Large N Limit of Superconformal Field Theories and Supergravity →
hasKeyExample	duality between type IIB string theory on AdS5×S5 and N=4 supersymmetric Yang–Mills theory in four dimensions →
hasSymmetry	AdS isometry group SO(2,d) → CFT conformal group in d dimensions →
implies	correspondence between bulk fields and boundary operators → equivalence of partition functions between bulk and boundary theories → matching of symmetries between AdS isometries and CFT conformal group →
introducedBy	Juan Maldacena →
involves	large N limit of gauge theories → string theory in curved backgrounds → supersymmetry in canonical examples →
mathematicalTool	correspondence between boundary correlators and bulk on-shell action →
proposedInYear	1997 →
providesFrameworkFor	studying black hole physics → studying entanglement entropy → studying quantum gravity → studying strongly coupled quantum field theories → studying thermal field theory →
relates	conformal field theory on the boundary → gravity theory in anti-de Sitter space →
status	unproven but widely studied conjecture →
usedIn	AdS/QCD models → condensed matter applications → holographic entanglement entropy → holographic superconductors → information paradox studies → study of quark–gluon plasma →

Referenced by (7)

Subject (surface form when different)	Predicate
AdS/CFT correspondence ("gauge/gravity duality") → AdS/CFT correspondence ("Maldacena duality") →	alsoKnownAs
AdS/CFT correspondence ("The Large N Limit of Superconformal Field Theories and Supergravity") → AdS/CFT correspondence ("Anti-de Sitter Space and Holography") →	hasImportantPaper
Bekenstein bound ("holographic principle") →	associatedWith
Bekenstein–Hawking entropy →	isKeyTo
AdS/CFT correspondence ("AdS/QCD models") →	usedIn