The ε-expansion of the codimension two twist defect from conformal field theory

We apply the framework of Rychkov and Tan [S. Rychkov and Z. M. Tan, J. Phys. A 48, 29FT01 (2015)] to the codimension two twist defect at the Wilson-Fisher fixed point in 4-epsilon dimensions. We obtain the scaling dimensions of the operators on the defect up to the lowest nontrivial order in the epsilon-expansion without using Feynman diagram computation. Our results agree with the known results.