Radial evolution of holographic surfaces is mapped to T\bar T deformation flow, with the deformation parameter serving as the radial coordinate.
Note on surface growth approach for bulk reconstruction
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abstract
In a recent paper, a novel surface growth approach for reconstructing bulk geometry and matter fields was proposed, it was shown that this picture can be explicitly realized by the one-shot entanglement distillation tensor network and the surface state correspondence. In the present paper, we give direct analysis for the growth of the bulk minimal surfaces in asymptotically AdS 3 spacetime and show that bulk geometry can be efficiently reproduced in this way, which provides further support for the surface growth approach in entanglement wedge reconstruction.
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Surface growth scheme for bulk reconstruction and $T\bar T$ deformation
Radial evolution of holographic surfaces is mapped to T\bar T deformation flow, with the deformation parameter serving as the radial coordinate.