I was wondering if anybody could clarify what the difference between the conformal scaling dimension $\Delta$ and the conformal weight $h$ is?
Is it correctly understood that $\Delta$ is related to the transformation properties of a field and $h$ is an eigenvalue of the Virasoro operator $L_0$? Or is it that $\Delta$ is for general dimensions, while $h$ is used in 2 dimensions?
I seem to have confused myself while reading Francesco et. al.'s Conformal Field Theory.