The O(N)-flavoured replica twist defect

Abstract

Replica twist defects are of codimension two and enter in quantum information when finding the R\'enyi entropy. In particular, they generate n replicas of the bulk conformal field theory. We study the monodromy of such defect and learn how a global O(N)-symmetry is broken. By applying the equation of motion to the bulk-defect operator-product expansion we are able to extract the anomalous dimension of defect-local fields.