Abstract
Defect extremal surface is defined by extremizing the Ryu-Takayanagi formula corrected by the quantum defect theory. This is interesting when the AdS bulk contains a defect brane (or string). We introduce a defect extremal surface formula for reflected entropy, which is a mixed state generalization of entanglement entropy measure. Based on a decomposition procedure of an AdS bulk with a brane, we demonstrate the equivalence between defect extremal surface formula and island formula for reflected entropy in AdS3/BCFT2. We also compute the evolution of reflected entropy in evaporating black hole model and find that defect extremal surface formula agrees with island formula.
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Li, T., Yuan, MK. & Zhou, Y. Defect extremal surface for reflected entropy. J. High Energ. Phys. 2022, 18 (2022). https://doi.org/10.1007/JHEP01(2022)018
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DOI: https://doi.org/10.1007/JHEP01(2022)018