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Defect Extremal Surface for Reflected Entropy
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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 AdS$_3$/BCFT$_2$. We also compute the evolution of reflected entropy in evaporating black hole model and find that defect extremal surface formula agrees with island formula.
Forward citations
Cited by 2 Pith papers
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Phase transition in a doubly holographic model of closed $\mathbf{dS_{2} }$ spacetime
A doubly holographic dS2 model has a third extremal surface whose dominance creates a phase transition, but the surface's geodesic length can be negative.
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Defects extremal surfaces and interface CFTs
A generalized defect-extremal-surface prescription for AdS3/ICFT2 is shown to match island-formula entropies in the large-tension limit and to produce Page curves for 2d eternal black holes.
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