= Holographic dictionary
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The holographic dictionary maps observables and parameters between a boundary <quantum field theory> and a bulk gravitational description. In the ordinary scalar Dirichlet prescription, one near-boundary coefficient acts as the source for a boundary <local field operator>, while another independent coefficient is related to its <expectation value> after <holographic renormalization>.
The <AdS scalar mass--dimension relation> connects the bulk <mass> to the boundary <scaling dimension>. Solving the bulk field equation with a specified boundary source then determines the response and hence boundary <correlation functions>. Source and response assignments depend on <boundary conditions>: alternative quantization, logarithmic terms and local <counterterms> require care. They cannot always be identified just by calling every leading coefficient a source and every subleading coefficient an expectation value.
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