Surface growth approach for bulk reconstruction in AdS/BCFT correspondence
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916321560625152 |
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| author | Fang, Xihao Chen, Fangzhong Sun, Jiarui |
| author_facet | Fang, Xihao Chen, Fangzhong Sun, Jiarui |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_12086 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Surface growth approach for bulk reconstruction in AdS/BCFT correspondence Fang, Xihao Chen, Fangzhong Sun, Jiarui High Energy Physics - Theory General Relativity and Quantum Cosmology 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. |
| title | Surface growth approach for bulk reconstruction in AdS/BCFT correspondence |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2403.12086 |