Holographic Renormalization of New Massive Gravity

TL;DR

This paper investigates holographic renormalization in three-dimensional new massive gravity, revealing a logarithmic behavior at the critical point that suggests the dual conformal field theory may be a logarithmic CFT.

Contribution

It analyzes the fall off conditions of the metric in NMG and identifies the logarithmic behavior at the critical point, linking it to the dual LCFT in the AdS/CFT framework.

Findings

Logarithmic fall off at the critical point

Identification of a source for an irrelevant operator

Potential duality with a logarithmic CFT

Abstract

We study holographic renormalization for three dimensional new massive gravity (NMG). By studying the general fall off conditions for the metric allowed by the model at infinity, we show that at the critical point where the central charges of the dual CFT are zero it contains a leading logarithmic behavior. In the context of AdS/CFT correspondence it can be identified as a source for an irrelevant operator in the dual CFT. The presence of the logarithmic fall off may be interpreted as the fact that the dual CFT would be a LCFT.