Holographic Timelike Entanglement and Subregion Complexity in Localized AdS3*S3*T4 Black Holes

• URL: http://arxiv.org/abs/2607.11641v1
• Date: Mon, 13 Jul 2026 14:57:41 GMT
• Title: Holographic Timelike Entanglement and Subregion Complexity in Localized AdS3*S3*T4 Black Holes
• Abstract summary: We study timelike entanglement entropy and timelike subregion complexity in localized black holes with AdS3*S3*T4 geometry.<n>We show that timelike Lorentzian observables probe localized-geometry effects that are absent in BTZ and in the leading large-$r$ description.
• Score: 3.4396122938297595
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study timelike entanglement entropy and timelike subregion complexity in localized black holes with asymptotic AdS3*S3*T4 geometry, focusing on the black-pole solution. Unlike the BTZ solution, the black pole exhibits a nontrivial dependence on the internal sphere through the functions $K_y(r,θ)$ and $G(r,θ)$. Both observables are constructed from spacelike and timelike Lorentzian branches, but they probe the geometry in different ways: timelike entanglement yields a complex lifted area, while timelike complexity gives a real, finite renormalized volume. We employ a localized timelike prescription in which the branch profile is built at an angular label $θ_0$ and subsequently lifted over the physical internal angle $θ$. In the large-$r$ regime, the leading angular dependence drops out, recovering the expected short-interval behaviour. In the exact black-pole geometry, the temporal families become non-monotonic, making a fixed-boundary-interval selection essential. As the boundary interval increases, the selected branches move inward and become sensitive to the localized cap-horizon transition region. These results demonstrate that timelike Lorentzian observables probe localized-geometry effects that are absent in BTZ and in the leading large-$r$ description.

Related papers

• The problem of time: a path integral view [47.21208639026933]
  We show how Schrdinger evolution emerges once a clock degree of freedom is identified and placed in a semiclassical good-clock state'<n>Our analysis has a consequence that extends to path integral formulations of generally covariant systems with action $S$ (including gravity)
  arXiv  Detail & Related papers  (2026-05-18T06:43:38Z)
• Hofstadter's Butterfly in AdS$_3$ Black Holes [1.5899159309486681]
  We derive the reduced Dirac Hamiltonian on the non-rotating BTZ background and use its redshift structure to construct a gauge-covariant single-band lattice model on the constant-time BTZ cylinder.<n>We show that weaker curvature sharpens the butterfly-like fragmentation, whereas larger horizons suppress both magnetic and Aharonov--Bohm response by creating weakly dispersing near-horizon states.
  arXiv  Detail & Related papers  (2026-04-15T18:40:36Z)
• Composite AdS geodesics for CFT correlators and timelike entanglement entropy [0.0]
  We study how to recover timelike worldlines in AdS from CFT data as a toy model for holographically reconstructing realistic observers.<n>We show agreement in Poincaré AdS, for generic boundary points in global AdS, and also for the BTZ solution, in which the timelike segment probes behind the horizon.
  arXiv  Detail & Related papers  (2025-11-27T07:13:02Z)
• Geometric Interpretation of Timelike Entanglement Entropy [44.99833362998488]
  Analytic continuations of holographic entanglement entropy in which the boundary subregion extends along a timelike direction have brought a promise of a novel, time-centric probe of spacetime.<n>We propose that the bulk carriers of this holographic timelike entanglement entropy are boundary-anchored extremal surfaces probing analytic continuation of holographic spacetimes into complex coordinates.
  arXiv  Detail & Related papers  (2024-08-28T12:36:34Z)
• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• Complexity and Multi-boundary Wormholes [0.0]
  Three dimensional wormholes are global solutions of Einstein-Hilbert action. These space-times which are quotients of a part of global AdS$_3$ have multiple regions, each with conformal boundary $S1timesmathbbR$, and separated from each other by horizons.
  arXiv  Detail & Related papers  (2023-02-15T08:33:05Z)
• Superdiffusion in random two dimensional system with time-reversal symmetry and long-range hopping [45.873301228345696]
  localization problem in the crossover regime for the dimension $d=2$ and hopping $V(r) propto r-2$ is not resolved yet. We show that for the hopping determined by two-dimensional anisotropic dipole-dipole interactions there exist two distinguishable phases at weak and strong disorder.
  arXiv  Detail & Related papers  (2022-05-29T16:53:20Z)
• Persistent oscillations after quantum quenches in $d$ dimensions [0.0]
  We show that oscillations undamped in time occur when the state produced by the quench includes single-quasiparticle modes and the observable couples to those modes. For homogeneous systems we show that oscillations undamped in time occur when the state produced by the quench includes single-quasiparticle modes and the observable couples to those modes.
  arXiv  Detail & Related papers  (2021-07-28T09:42:56Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)
• Observing localisation in a 2D quasicrystalline optical lattice [52.77024349608834]
  We experimentally and numerically study the ground state of non- and weakly-interacting bosons in an eightfold symmetric optical lattice. We find extended states for weak lattices but observe a localisation transition at a lattice depth of $V_0.78(2),E_mathrmrec$ for the non-interacting system.
  arXiv  Detail & Related papers  (2020-01-29T15:54:42Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.