Anomalous dimensions in the WF O(N) model with a monodromy line defect

Abstract

Abstract Implications of inserting a conformal, monodromy line defect in three dimensional O(N) models are studied. We consider then the WF O(N) model, and study the two-point Green’s function for bulk-local operators found from both the bulk-defect expansion and Feynman diagrams. This yields the anomalous dimensions for bulk- and defect-local primaries as well as one of the OPE coefficients as ϵ-expansions to the first loop order. As a check on our results, we study the (ϕ k )2 ϕ j operator both using the bulk-defect expansion as well as the equations of motion.