Schwinger-Dyson = Wheeler-DeWitt: gauge theory observables as bulk operators

We argue that the second-order gauge-invariant Schwinger-Dyson operator of a gauge theory is the Wheeler-DeWitt operator in the dual string theory. Us ing this identification, we construct a set of operators in the gauge theor y that correspond to excitations of gravity in the bulk. We show that these gauge theory operators have the expected properties for describing the sem i-classical local gravity theory.