CFT$_2$ in the Bulk

TL;DR

This paper investigates non-Gaussian two-dimensional conformal field theories in AdS$_2$ using boundary CFT methods and JT gravity, analyzing operator constraints and correlators under different boundary conditions.

Contribution

It introduces boundary condition constraints on operator content and computes bulk and boundary correlators using Schwarzian techniques in a novel context.

Findings

Boundary conditions impose specific constraints on operator content.

Explicit calculations of correlators for various boundary conditions.

Perturbative gravitational correlator computations in $1/c$.

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 $1/c$.