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

Abstract

We apply the framework of Rychkov-Tan arXiv:1505.00963 to the codimension two twist defect at the Wilson-Fisher fixed point in $4-ε$ dimensions. We obtain the scaling dimensions of the operators on the defect up to the lowest nontrivial order in the $ε$-expansion without using Feynman diagram computation. Our results agree with the known results.

5 pages. v2, v3: typos corrected