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Surface growth approach for bulk reconstruction in AdS/BCFT correspondence
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In this paper, we extend the surface growth scheme in AdS spacetime with a boundary in the AdS/BCFT correspondence. We show that the entanglement wedge with a boundary can be constructed from the direct growth of bulk extremal surfaces layer by layer. In addition, we find that the surface growth configuration in BCFT can be connected with the defect multi scale entanglement renormalization ansatz (MERA) tensor network. Furthermore, we also investigate the entanglement of purification within the surface growth process, which reveals more refined structure of entanglement entropy and indicates a selection rule for surface growth in the bulk 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.
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