AdS boundary conditions and the Topologically Massive Gravity/CFT correspondence

TL;DR

This paper reviews how the AdS/CFT correspondence informs boundary conditions and conserved charges in gravity, focusing on Topologically Massive Gravity, which is dual to a non-unitary or logarithmic CFT depending on its parameters.

Contribution

It applies AdS/CFT techniques to Topologically Massive Gravity, revealing its duality to non-unitary and logarithmic CFTs across parameter space.

Findings

Topologically Massive Gravity is dual to a non-unitary CFT for all parameters.

At mu=1, the dual CFT becomes logarithmic.

The study advances understanding of boundary conditions in gravity theories.

Abstract

The AdS/CFT correspondence provides a new perspective on recurrent questions in General Relativity such as the allowed boundary conditions at infinity and the definition of gravitational conserved charges. Here we review the main insights obtained in this direction over the last decade and apply the new techniques to Topologically Massive Gravity. We show that this theory is dual to a non-unitary CFT for any value of its parameter mu and becomes a Logarithmic CFT at mu = 1.