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.
Categories: hep-th