Abstract
We revisit entanglement wedge reconstruction in AdS/CFT using the Petz recovery channel. In the case of a spherical region on the boundary, we show that the Petz map reproduces the AdS-Rindler HKLL reconstruction. Moreover, for a generic subregion of the boundary, we could obtain the same boundary representation of a local bulk field lies in the entanglement wedge as the one proposed earlier in [1, 2] using properties of the modular flow.
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Acknowledgments
We would like to thank E. Tonni for useful discussions. In particular, we are greatly indebted to our advisor, K. Papadodimas for the valuable discussions throughout this work and his useful comments on the preliminary draft as well. We would also like to acknowledge F. Benini and M. Bertolini for their support as our internal advisors during this work. NV would greatly like to thank M. Bertolini and M. Serone for their invaluable support. The research is partially supported by INFN Iniziativa Specifica - String Theory and Fundamental Interactions project.
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Bahiru, E., Vardian, N. Explicit reconstruction of the entanglement wedge via the Petz map. J. High Energ. Phys. 2023, 25 (2023). https://doi.org/10.1007/JHEP07(2023)025
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DOI: https://doi.org/10.1007/JHEP07(2023)025