CFT${}_2$ in the Bulk

Abstract

We study non-Gaussian bulk 2d CFTs in AdS${}_2$ using boundary CFT techniques and recent results in JT/Schwarzian gravity. We highlight the constraints on the operator content of a theory imposed by the boundary conditions by examining the relation between correlator coefficients and OPE coefficients in the presence of a boundary. We then calculate bulk and boundary correlators for various boundary conditions. Schwarzian techniques are used to calculate gravitational correlators perturbatively in $1/c$.

35 pages, 2 figures