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

TL;DR

This paper proposes that the gauge-invariant Schwinger-Dyson operator in gauge theories corresponds to the Wheeler-DeWitt operator in dual string theories, enabling the construction of bulk gravity operators from gauge theory observables.

Contribution

It establishes a novel correspondence between gauge theory operators and bulk gravitational excitations, advancing the understanding of gauge/gravity duality.

Findings

Gauge-invariant Schwinger-Dyson operator matches Wheeler-DeWitt operator

Constructed gauge theory operators represent bulk gravity excitations

Operators exhibit properties consistent with semiclassical gravity

Abstract

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. Using this identification, we construct a set of operators in the gauge theory that correspond to excitations of gravity in the bulk. We show that these gauge theory operators have the expected properties for describing the semiclassical local gravity theory.