The O(N)-flavoured replica twist defect

Abstract

Abstract Replica twist defects are of codimension two and enter in quantum information when finding the Rényi 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. All of the results in this paper was first presented in my thesis [1], and they generalize previous results on an O(N)-flavoured monodromy twist defect.

Keywords

• Effective Field Theories
• Field Theories in Higher Dimensions
• Global Symmetries
• Scale and Conformal Symmetries