Anomalous Dimensions in the WF O(N) Model with a Monodromy Line Defect

2017-06-09

Author: Alexander Söderberg

Preprint: UUITP-16/17

Implications of inserting a 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 fields found from both the bulk-defect expansion and Feynman diagrams, to find 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)²ϕ^j operator both using the bulk-defect expansion as well as the equations of motion.