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Tensor Network and Black Hole

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arxiv 1208.0206 v1 pith:FBITVDWB submitted 2012-08-01 hep-th cond-mat.stat-mech

Hiroaki Matsueda , Masafumi Ishihara , Yoichiro Hashizume This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords tensorblackholenetworkformalismmeraspaceanzats
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A tensor network formalism of thermofield dynamics is introduced. The formalism relates the original Hilbert space with its tilde space by a product of two copies of a tensor network. Then, their interface becomes an event horizon, and the logarithm of the tensor rank corresponds to the black hole entropy. Eventually, multiscale entanglement renormalization anzats (MERA) reproduces an AdS black hole at finite temperature. Our finding shows rich functionalities of MERA as efficient graphical representation of AdS/CFT correspondence.

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  1. The holographic entanglement pattern of BTZ planar black hole from a thread perspective

    hep-th 2025-08 conditional novelty 5.0 of 10

    Cross-boundary entanglement thread flux in a planar BTZ wormhole is computed explicitly (Eq. 53) and shown to integrate to the standard thermal entropy density.

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