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.
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Acknowledgments
I would like to express my gratitude to Agnese Bissi, Pietro Longhi and Andrea Manenti for enriching discussions on the replica twist defects. Moreover, I thank everyone that went to my public defence of my thesis [1], where the results in this paper was first presented. This project was funded by Knut and Alice Wallenberg Foundation grant KAW 2021.0170, VR grant 2018-04438 and Olle Engkvists Stiftelse grant 2180108.
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Rousu, A.S. The O(N)-flavoured replica twist defect. J. High Energ. Phys. 2023, 22 (2023). https://doi.org/10.1007/JHEP07(2023)022
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DOI: https://doi.org/10.1007/JHEP07(2023)022