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- Title
Defect extremal surface for reflected entropy.
- Authors
Li, Tianyi; Yuan, Ma-Ke; Zhou, Yang
- 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.
- Subjects
SURFACE defects; QUANTUM defect theory; ENTROPY; CONDENSED matter physics; BLACK holes; BRANES
- Publication
Journal of High Energy Physics, 2022, Vol 2022, Issue 1, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP01(2022)018