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arXiv · 2507.18435

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

Hao-Chun Liang·Jia-Rui Sun·Yuan Sun
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Abstract

In this paper, we study the dynamical connection between the surface growth scheme and the conformal field theory with $T\bar{T}$ deformation. By utilizing the extended one-shot entanglement distillation tensor network, we find that the iterative growth, i.e. radial evolution of homogenous and isotropic bulk minimal surfaces in asymptotically anti-de Sitter (AdS) spacetime can be mapped to the $T\bar{T}$ operator flow driven by the deformation parameter. Our results show that the $T\bar{T}$ deformation can provide a dynamical mechanism for the surface growth in asymptotically AdS spacetime, which may shed light on reconstructing bulk gravitational dynamics from the surface growth scheme.

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Hao-Chun Liang, Jia-Rui Sun, Yuan Sun. 2025-07-24. Surface growth scheme for bulk reconstruction and $T\bar T$ deformation. https://arxiv.org/abs/2507.18435

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