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Surface/State correspondence and $T\overline{T}$ deformation

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arxiv 1907.12110 v1 pith:EI54Y4AV submitted 2019-07-28 hep-th

Bin Chen , Lin Chen , Cheng-Yong Zhang This is my paper · ORCID
classification hep-th
keywords stateoverlinesurfacecorrespondencedeformeddualholographicparticular
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abstract

The surface/state correspondence suggests that the bulk co-dimensional two surface could be dual to the quantum state in the holographic conformal field theory(CFT). Inspired by the cutoff-AdS/$T\overline{T}$-deformed-CFT correspondence, we propose that the quantum states of two-dimensional $T\overline{T}$-deformed holographic CFT are dual to some particular surfaces in the AdS$_3$ gravity. In particular, the time slice of the cut-off surface is dual to the ground state of the $T\overline{T}$-deformed CFT. We examine our proposal by studying the entanglement entropy and quantum information metric. We find that the complexity of the ground state in the deformed theory is consistent with the one of a particular cMERA and the holographic complexity via CV or CA prescription.

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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. Holography and Kinematic Space for Gravitational Sub-regions in AdS

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    The paper proposes a kinematic space for any subregion of vacuum AdS, whose geodesic 'PEE threads' uniformly cover the subregion and yield tensor-network models that reproduce Ryu-Takayanagi entropy and realize surfac...

  2. Entanglement entropy and $T\bar T$ deformations beyond antipodal points from holography

    hep-th 2019-08 conditional novelty 6.0 of 10

    For a holographic (A)dS spacetime with a hard radial cutoff, the entanglement entropy of any interval on the sphere equals the antipodal-point formula with radius R cos(beta_epsilon).

  3. Surface growth scheme for bulk reconstruction and $T\bar T$ deformation

    hep-th 2025-07 reject novelty 5.0 of 10

    Radial evolution of holographic surfaces is mapped to T\bar T deformation flow, with the deformation parameter serving as the radial coordinate.

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