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High Energy Physics - Theory

arXiv:2108.08544 (hep-th)
[Submitted on 19 Aug 2021]

Title:Defect Extremal Surface for Reflected Entropy

Authors:Tianyi Li, Ma-Ke Yuan, Yang Zhou
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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.
Comments: 1+35 pages, 23 figures
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); General Relativity and Quantum Cosmology (gr-qc); Quantum Physics (quant-ph)
Cite as: arXiv:2108.08544 [hep-th]
  (or arXiv:2108.08544v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2108.08544
Journal reference: JHEP 01 (2022) 018
Related DOI: https://doi.org/10.1007/JHEP01%282022%29018

Submission history

From: Yang Zhou [view email]
[v1] Thu, 19 Aug 2021 08:15:49 UTC (1,312 KB)
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