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  • Open Access

Surface growth scheme for bulk reconstruction and TT¯ deformation

Hao-Chun Liang1,*, Jia-Rui Sun1,†, and Yuan Sun2,‡

  • *Contact author: lianghch3@mail2.sysu.edu.cn
  • †Contact author: sunjiarui@mail.sysu.edu.cn
  • ‡Contact author: sunyuan@csu.edu.cn

Phys. Rev. D 114, 066017 – Published 24 September, 2026

DOI: https://doi.org/10.1103/jljb-lbby

Abstract

In this paper, we study the dynamical connection between the surface growth scheme and the conformal field theory with TT¯ 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 spacetime can be mapped to the TT¯ operator flow driven by the deformation parameter. Our results show that the TT¯ deformation can provide a dynamical mechanism for the surface growth in asymptotically anti–de Sitter spacetime, which may shed light on reconstructing bulk gravitational dynamics from the surface growth scheme.

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