AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity

TL;DR

This paper computes correlation functions in a proposed duality between a specific three-dimensional gravity theory and a logarithmic conformal field theory, providing evidence for the duality and classifying solutions to the equations of motion.

Contribution

It provides explicit calculations of correlators in cosmological topologically massive gravity at the chiral point and classifies solutions to the linearized equations of motion.

Findings

Correlators are consistent with the duality to a logarithmic CFT

Complete classification of solutions to linearized equations in AdS_3

Supports the conjecture of the gravity/CFT correspondence in this context

Abstract

For cosmological topologically massive gravity at the chiral point we calculate momentum space 2- and 3-point correlators of operators in the postulated dual CFT on the cylinder. These operators are sourced by the bulk and boundary gravitons. Our correlators are fully consistent with the proposal that cosmological topologically massive gravity at the chiral point is dual to a logarithmic CFT. In the process we give a complete classification of normalizable and non-normalizeable left, right and logarithmic solutions to the linearized equations of motion in global AdS_3.