Logarithmic conformal field theory approach to topologically massive gravity

Abstract

We study the topologically massive gravity at the chiral point (chiral gravity) by using the logarithmic conformal field theory. Two new tensor fields of ${\psi }^{new}$ and $X$ are introduced for a candidate of propagating physical field at the chiral point. However, we show that (${\psi }^{new},{\psi }^L$) form a dipole ghost pair of unphysical fields and $X$ is not a primary. This implies that there is no physically propagating degrees of freedom at the chiral point.

11 pages

References in corpus (3)

• A Simple Proof of the Chiral Gravity Conjecture
• Canonical analysis of cosmological topologically massive gravity at the chiral point
• Comment on "Cosmological Topological Massive Gravitons and Photons"

Cited by in corpus (5)

• On the Generalized Massive Gravity in $Ad{S}_3$
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• Absorption Cross Section in Warped AdS${}_3$ Black Hole
• Topologically massive gravity on AdS${}_2$ spacetimes
• Entropy of extremal warped black holes