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Holographic entanglement entropy in $T\overline{T}$-deformed AdS$_3$

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arxiv 2301.04435 v3 pith:X5TWLIY3 submitted 2023-01-11 hep-th gr-qc

Miao He , Yuan Sun This is my paper · ORCID
classification hep-thgr-qc
keywords entanglemententropydeformedholographiccftsdeformationresultagrees
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abstract

In this work, we study the holographic entanglement entropy in AdS$_3$ gravity with the certain mixed boundary condition, which turns out to correspond to $T\bar{T}$-deformed 2D CFTs. By employing the Chern-Simons formalism and Wilson line technique, the holographic entanglement entropy in $T\bar{T}$-deformed BTZ black hole is obtained. We also get the same formula by calculating the RT surface. The holographic entanglement entropy agrees with the perturbation result derived from both $T\bar{T}$-deformed CFTs and cutoff AdS$_3$. Moreover, our result shows that the deformed entanglement entropy for large deformation parameter behaves like the entanglement entropy of CFT at zero temperature. We also consider the entanglement entropy of two intervals and study the effect of $T\bar{T}$ deformation on phase transition.

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Cited by 3 Pith papers

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

  1. Finite-cutoff Holographic Thermodynamics

    hep-th 2025-07 conditional novelty 6.0 of 10

    Finite-cutoff holography yields a thermodynamic duality between T^2-deformed CFTs and Schwarzschild-AdS black holes with a Dirichlet wall, including a teardrop coexistence curve with up to three states at one temperature.

  2. 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.

  3. The holographic $\textrm{T}\overline{\textrm{T}}$ deformation of the CFT$_2$ with gravitational anomalies

    hep-th 2025-07 conditional novelty 5.0 of 10

    The TTbar deformation of an anomalous CFT2 has a working holographic model in topological massive gravity, with a universal deformed spectrum and matching entanglement observables.

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