Surface growth approach for bulk reconstruction in the AdS/BCFT correspondence

  • In this study, we extend the surface growth approach for bulk reconstruction into the AdS spacetime with a boundary in the AdS/BCFT correspondence. We show that the geometry in the entanglement wedge with a boundary can be constructed from the direct growth of bulk extremal surfaces layer by layer. Furthermore, we observe that the surface growth configuration in BCFT can be connected with the defect multi scale entanglement renormalization ansatz (MERA) tensor network. Additionally, we investigate the entanglement of purification within the surface growth process, which not only reveals more refined structure of entanglement entropy in the entanglement wedge but also suggests a selection rule for surface growth in the bulk reconstruction.
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  • [1] J. M. Maldacena, Adv. Theor. Math. Phys.2, 231 (1998) doi:10.1023/A%3A1026654312961
    [2] S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B428, 105 (1998), arXiv:hep-th/9802109 doi:10.1016/S0370-2693(98)00377-3
    [3] E. Witten, Adv. Theor. Math. Phys.2, 253 (1998), arXiv:hep-th/9802150 doi:10.4310/ATMP.1998.v2.n2.a2
    [4] S. Ryu and T. Takayanagi, Phys. Rev. Lett.96, 181602 (2006), arXiv:hep-th/0603001 doi:10.1103/PhysRevLett.96.181602
    [5] S. Ryu and T. Takayanagi, JHEP0608, 045 (2006), arXiv:hep-th/0605073 doi:10.1088/1126-6708/2006/08/045
    [6] V. E. Hubeny, M. Rangamani, and T. Takayanagi, JHEP0707, 062 (2007), arXiv:0705.0016[hep-th] doi:10.1088/1126-6708/2007/07/062
    [7] M. Rangamani and T. Takayanagi,Holographic Entanglement Entropy, Lect. Notes Phys.931(Springer, 2017), pp.1-246
    [8] T. Faulkner and A. Lewkowycz, JHEP07, 151 (2017), arXiv:1704.05464[hep-th] doi:10.1007/JHEP07%282017%29151
    [9] N. Bao, C. Cao, S. Fischettiet al., Class. Quant. Grav.36(18), 185002 (2019), arXiv:1904.04834 doi:10.1088/1361-6382/ab377f
    [10] S. R. Roy and D. Sarkar, Phys. Rev. D98(6), 066017 (2018), arXiv:1801.07280 doi:10.1103/PhysRevD.98.066017
    [11] X. Dong, D. Harlow, and A. C. Wall, Phys. Rev. Lett.117(2), 021601 (2016), arXiv:1601.05416[hep-th] doi:10.1103/PhysRevLett.117.021601
    [12] J. Cotler, P. Hayden, G. Peningtonet al., Phys. Rev.X9(3), 031011 (2019), arXiv:1704.05839[hep-th] doi:10.1103/PhysRevX.9.031011
    [13] G. Vidal, Phys. Rev. Lett.101, 110501 (2008), arXiv:quant-ph/0610099 doi:10.1103/PhysRevLett.101.110501
    [14] B. Swingle, Phys. Rev. D86, 065007 (2012), arXiv:0905.1317[cond-mat.str-el] doi:10.1103/PhysRevD.86.065007
    [15] G. Vidal, Phys. Rev. Let.99, 220405 (2007) doi:10.1103/PhysRevLett.99.220405
    [16] A. Milsted and G. Vidal, arXiv: 1812.00529
    [17] N. Bao, G. Penington, J. Sorceet al., JHEP19, 069 (2020), arXiv:1812.01171[hep-th] doi:10.1007/JHEP11%282019%29069
    [18] L. Y. Hung, W. Li, and C. M. Melby-Thompson, JHEP04, 170 (2019), arXiv:1902.01411[hep-th] doi:10.1007/JHEP04(2019)170
    [19] P. Hayden, S. Nezami, X. L. Qiet al., JHEP11, 009 (2016), arXiv:1601.01694[hep-th] doi:10.1007/JHEP11%282016%29009
    [20] R. Vasseur, A. C. Potter, Y. Z. Youet al., Phys. Rev. B100(13), 134203 (2019), arXiv:1807.07082[cond-mat.stat-mech] doi:10.1103/PhysRevB.100.134203
    [21] T. Faulkner, M. Li, and H. Wang, JHEP04, 119 (2019), arXiv:1806.10560 doi:10.1007/JHEP04%282019%29119
    [22] A. Almheiri, X. Dong, and D. Harlow, JHEP04, 163 (2015), arXiv:1411.7041[hep-th] doi:10.1007/JHEP04%282015%29163
    [23] G. Penington, JHEP09, 002 (2020), arXiv:1905.08255[hep-th] doi:10.1007/JHEP09(2020)002
    [24] F. Pastawski, B. Yoshida, D. Harlowet al., JHEP06, 149 (2015), arXiv:1503.06237[hep-th] doi:10.1007/JHEP06%282015%29149
    [25] H. Y. Dai, J. R. Sun, and Y. Sun, Commun. Theor. Phys.75(8), 085402 (2023), arXiv:1912.02070[hep-th] doi:10.1088/1572-9494/acdd61
    [26] Y. Y. Lin, J. R. Sun, and Y. Sun, JHEP12, 083 (2020) doi:10.1007/JHEP12(2022)083
    [27] C. Yu, F. Z. Chen, Y. Y. Linet al., Chin. Phys. C46(8), 085104 (2022), arXiv:2010.03167[hep-th] doi:10.1088/1674-1137/ac69ba
    [28] M. Fujita, T. Takayanagi, and E. Tonni, JHEP11, 043 (2011), arXiv:1108.5152[hep-th] doi:10.1007/JHEP11%282011%29043
    [29] T. Takayanagi, Phys. Rev. Lett.107, 101602 (2011), arXiv:1105.5165[hep-th] doi:10.1103/PhysRevLett.107.101602
    [30] J. L. Cardy, arXiv: hep-th/0411189[hep-th]
    [31] C. S. Chu, R. X. Miao, and W. Z. Guo, JHEP04, 089 (2017), arXiv:1701.07202[hep-th] doi:10.1007/JHEP04%282017%29089
    [32] A. Almheiri, R. Mahajan, J. Maldacenaet al., JHEP03, 149 (2020), arXiv:1908.10996[hep-th] doi:10.1007/JHEP03%282020%29149
    [33] H. Z. Chen, R. C. Myers, D. Neuenfeldet al., JHEP10, 166 (2020), arXiv:2006.04851[hep-th] doi:10.1007/JHEP10(2020)166
    [34] H. Z. Chen, R. C. Myers, D. Neuenfeldet al., JHEP12, 025 (2020), arXiv:2010.00018[hep-th] doi:10.1007/JHEP12(2020)025
    [35] Y. Y. Lin, J. R. Sun, Y. Sunet al., JHEP07, 009 (2022), arXiv:2203.03111[hep-th] doi:10.1007/JHEP07%282022%29009
    [36] R. X. Miao, JHEP03, 214 (2023), arXiv:2301.06285[hep-th] doi:10.1007/JHEP03%282023%29214
    [37] G. Evenbly, R. N. C. Pfeifer, V. Picoet al., Phys. Rev. B82, 161107(R) (2010), arXiv:0912.1642[cond-mat.str-el] doi:10.1103/PhysRevB.82.161107
    [38] B. Czech, P. H. Nguyen, and S. Swaminathan, JHEP03, 090 (2017), arXiv:1612.05698[hep-th] doi:10.1007/JHEP03%282017%29090
    [39] G. Evenbly and G. Vidal, Phys. Rev. B91, 205119 (2015), arXiv:1307.0831[quant-ph] doi:10.1103/PhysRevB.91.205119
    [40] G. Vidal and Y. Chen, J. Stat. Mech.2014(10), P10011 (2014), arXiv:1406.1471[cond-mat.str-el] doi:10.1088/1742-5468/2014/10/P10011
    [41] L. H. Mo, Y. Zhou, J. R. Sunet al., arXiv: 2311.01997[quant-ph]
    [42] Y. Y. Lin, J. R. Sun, and Y. Sun, Phys. Rev. D103(12), 126002 (2021), arXiv:2012.05737[hep-th] doi:10.1103/PhysRevD.103.126002
    [43] T. Takayanagi and K. Umemoto, Nature Phys.14(6), 573 (2018), arXiv:1708.09393[hep-th] doi:10.1038/s41567-018-0075-2
    [44] P. Nguyen, T. Devakul, M. G. Halbaschet al., JHEP01, 098 (2018), arXiv:1709.07424[hep-th] doi:10.1007/JHEP01%282018%29098
    [45] B. Czech, J. L. Karczmarek, F. Nogueiraet al., Class. Quant. Grav.29, 155009 (2012), arXiv:1204.1330[hep-th] doi:10.1088/0264-9381/29/15/155009
    [46] D. L. Jafferis, A. Lewkowycz, J. Maldacenaet al., JHEP06, 004 (2016), arXiv:1512.06431[hep-th] doi:10.1007/JHEP06%282016%29004
    [47] M. Miyaji and T. Takayanagi, Prog. Theor. Exp. Phys.2015, 073B03 (2015), arXiv:1503.03542[hep-th] doi:10.1093/ptep/ptv089
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Xi-Hao Fang, Fang-Zhong Chen and Jia-Rui Sun. Surface growth approach for bulk reconstruction in the AdS/BCFT correspondence[J]. Chinese Physics C. doi: 10.1088/1674-1137/ad32be
Xi-Hao Fang, Fang-Zhong Chen and Jia-Rui Sun. Surface growth approach for bulk reconstruction in the AdS/BCFT correspondence[J]. Chinese Physics C. doi:10.1088/1674-1137/ad32be shu
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    Surface growth approach for bulk reconstruction in the AdS/BCFT correspondence

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