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Published September 15, 2022 | Published
Journal Article Open

Reflected entropy in boundary and interface conformal field theory

Abstract

Boundary conformal field theory (BCFT) and interface conformal field theory (ICFT) attract attention in the context of the information paradox problem. On this background, we develop the idea of the reflected entropy in BCFT/ICFT. We first introduce the left-right reflected entropy in BCFT and show that its holographic dual is given by the area of the entanglement wedge cross section through AdS/BCFT. We also present how to evaluate the reflected entropy in ICFT. By using this technique, we can show the universal behavior of the reflected entropy in some special classes.

Copyright and License

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Funding

Funded by SCOAP3.

Acknowledgement

We thank Jonah Kudler-Fram, Yuhan Liu, Shinsei Ryu, Ramanjit Sohal, Kotaro Tamaoka, and Zixia Wei for fruitful discussions and comments. Y. K. is supported by Burke Fellowship (Brinson Postdoctoral Fellowship at Caltech).

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Additional details

Created:
July 9, 2024
Modified:
July 9, 2024