arXiv:2507.18435 · Physical review. D/Physical review. D.
Surface growth scheme for bulk reconstruction and T T ¯ deformation
Hao-Chun Liang, Jia-Rui Sun, Yuan Sun
Abstract
In this paper, we study the dynamical connection between the surface growth scheme and the conformal field theory with T 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 spacetime can be mapped to the T T ¯ operator flow driven by the deformation parameter. Our results show that the T T ¯ 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.