In this thesis, we study a version of dipolar conformal field theory based on the central charge modification of the Gaussian free field with the Dirichlet boundary condition. We prove that correlation functions of certain family of fields in this theory under the insertion of the boundary condition changing operator are martingale-observables for dipolar SLE. We adopt and modify definitions and basic properties developed in the study of a version of chordal conformal field theory to implement this version of dipolar conformal field theory. Using techniques in a dipolar conformal field theory, we prove the restriction property of dipolar SLE(8/3), Friedrich-Werner`s formula in the dipolar case and the Cardy-Zhan observables.