What is the conformal dimension of a primary field with scaling dimension 1?

The conformal dimension of a primary field with a scaling dimension of 1 is 1. The conformal dimension characterizes how the field scales under conformal transformations and governs its behavior in correlation functions. Primary fields with different scaling dimensions play distinct roles in CFT, with higher-dimensional fields typically representing more massive or less relevant operators. By studying the conformal dimensions of primary fields, researchers can classify operators in CFT and understand their physical significance.