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Reflected entropy and timelike entanglement in $\textrm{T}\bar{\textrm{T}}$ deformed CFT$_2$s

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arxiv 2402.07253 v1 pith:VMH2HBFW submitted 2024-02-11 hep-th

Debarshi Basu , Vinayak Raj This is my paper · ORCID
classification hep-th
keywords entropyreflectedtextrmdeformedentanglementfinitereplicaagreement
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We develop a covariant formalism to investigate the mixed state entanglement structure of time-dependent boosted subsystems in $\textrm{T}\bar{\textrm{T}}$ deformed CFT$_2$s through the reflected entropy. To this end we utilize the conformal perturbation theory to obtain the R\'enyi reflected entropy through the partition function on replica manifold. The correction to the reflected entropy to the first order in the deformation parameter $\mu$ in then obtained in the replica limit for finite temperature and finite sized systems. We verify our field theoretic computations by obtaining the dual EWCS in the corresponding bulk cut-off AdS$_3$ geometries and find perfect agreement between the two.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Temporal Entanglement from Twist Correlators in 2d Conformal Field Theory and Holography

    hep-th 2026-07 conditional novelty 7.0 of 10

    Timelike entanglement entropy in 2d CFT is defined by time-ordered twist correlators, whose holographic saddles are complex geodesics with smallest real length, and whose imaginary part counts causal-diamond crossings...

  2. Holographic entanglement entropy with conformal boundary conditions

    hep-th 2026-08 conditional novelty 6.0 of 10

    In AdS3 with conformal boundary conditions, holographic entanglement entropy is still the minimal-surface area over 4G_N, and the dual Liouville plus T Tbar theory gives entropy governed by the effective central charge c_eff.

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

    hep-th 2026-07 conditional novelty 6.0 of 10

    Timelike entanglement and subregion complexity detect the cap–horizon transition of localized AdS3×S3×T4 black poles via fixed-boundary-interval Lorentzian branch selection, effects absent in BTZ and large-r limits.

  4. Butterfly effect and $\textrm{T}\overline{\textrm{T}}$-deformation

    hep-th 2025-05 conditional novelty 6.0 of 10

    For T\bar{T}-deformed BTZ black holes, the butterfly velocity is v_B = sqrt(1 - 8π² μ/β²), exceeding the Mezei-Stanford bound for μ<0 while the Lyapunov exponent stays at the maximal value 2π/β.

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