The AdS/CFT correspondence identifies a conformal field theory with quantum gravity on an asymptotically anti-de Sitter spacetime. Boundary sources couple to CFT operators and equal boundary values of bulk fields.
A Euclidean conformal transformation pulls the flat metric back to a position-dependent positive multiple of itself. Its infinitesimal generator obeys the conformal Killing equation.
Three scalar primaries have a conformally fixed position dependence, leaving one theory-dependent coefficient .
A Witten diagram is a position-space perturbative diagram in anti-de Sitter spacetime whose external bulk-to-boundary propagators end at boundary operator insertions.
In a large-rank gauge theory, a single-trace operator is dual at leading order to a single bulk field, while multi-trace operators correspond to multiparticle bulk states.
The holographic dictionary identifies leading near-boundary bulk-field coefficients with CFT sources and subleading normalizable coefficients with operator expectation values.
For a bulk gauge field, the leading boundary value of its time component is the dual chemical potential, while the normalizable radial coefficient determines the charge density.
Articles by others on the same topic
The AdS/CFT correspondence, also known as the Anti-de Sitter/Conformal Field Theory correspondence, is a theoretical framework in theoretical physics that relates two seemingly different types of physical theories. Specifically, it suggests a relationship between a type of string theory formulated on a certain geometric space known as Anti-de Sitter (AdS) space and a conformal field theory (CFT) defined on the boundary of that space.