Aspects of holographic timelike entanglement entropy in black hole backgrounds
- 1Shanghai University
- 2Gwangju Institute of Science and Technology
Abstract
We study the holographic construction of timelike entanglement entropy (tEE) in black hole backgrounds in Lorentzian geometries. The holographic tEE is realized through extremal surfaces consisting of spacelike and timelike branches that encode its real and imaginary components, respectively. In the BTZ black hole, these surfaces extend into the interior of the black hole and reproduce the field-theoretic results. The analysis is further generalized to higher-dimensional AdS-Schwarzschild black holes, where the characteristics of holographic tEE are obtained with increasing size of the boundary subsystem. Besides, we also show that the boundary subsystem length diverges at a dimension-dependent critical turning point. Notably, this critical point moves closer to the black hole horizon as the dimensionality of the bulk increases. For large subsystem lengths, the finite part of the holographic tEE displays a characteristic volume-plus-area structure, with a real volume term and a complex coefficient of the area term approaching constant values at large dimensions. Besides, we also study the monotonicity of a new quantity, timelike entanglement density, which offers insights into a timelike area theorem in specific limits. Subsequently, we investigate the near-horizon dynamics in various black hole backgrounds, where the spacelike and timelike surfaces exhibit exponential growth of the form e(2π )/βΔ t with inverse black hole temperature β.
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BibTeX
@article{afrasiar2026aspects,
title = {{Aspects of holographic timelike entanglement entropy in black hole backgrounds}},
author = {Mir Afrasiar and Jaydeep Kumar Basak and Keun-Young Kim},
journal = {Journal of High Energy Physics},
year = {2026},
month = nov,
doi = {10.1007/jhep11(2026)009},
url = {https://link.springer.com/article/10.1007/JHEP11(2026)009},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Aspects of holographic timelike entanglement entropy in black hole backgrounds
AU - Mir Afrasiar
AU - Jaydeep Kumar Basak
AU - Keun-Young Kim
PY - 2026
DA - 2026/11/02
JO - Journal of High Energy Physics
DO - 10.1007/jhep11(2026)009
UR - https://link.springer.com/article/10.1007/JHEP11(2026)009
AB - We study the holographic construction of timelike entanglement entropy (tEE) in black hole backgrounds in Lorentzian geometries. The holographic tEE is realized through extremal surfaces consisting of spacelike and timelike branches that encode its real and imaginary components, respectively. In the BTZ black hole, these surfaces extend into the interior of the black hole and reproduce the field-theoretic results. The analysis is further generalized to higher-dimensional AdS-Schwarzschild black holes, where the characteristics of holographic tEE are obtained with increasing size of the boundary subsystem. Besides, we also show that the boundary subsystem length diverges at a dimension-dependent critical turning point. Notably, this critical point moves closer to the black hole horizon as the dimensionality of the bulk increases. For large subsystem lengths, the finite part of the holographic tEE displays a characteristic volume-plus-area structure, with a real volume term and a complex coefficient of the area term approaching constant values at large dimensions. Besides, we also study the monotonicity of a new quantity, timelike entanglement density, which offers insights into a timelike area theorem in specific limits. Subsequently, we investigate the near-horizon dynamics in various black hole backgrounds, where the spacelike and timelike surfaces exhibit exponential growth of the form e^(2π )/βΔ t with inverse black hole temperature β.
SN - 1029-8479
ER -