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We use the tensor network living on the Bruhat-Tits tree to give a concrete realization of the recently proposed $p$-adic AdS/CFT correspondence (a holographic duality based on the $p$-adic number field $\mathbb{Q}_p$).
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A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Local bulk operators in AdS/CFT: A Boundary view of horizons and locality,” Phys. Rev. D 73
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A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Holographic representation of local bulk operators,” Phys. Rev. D 74
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2015
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A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Local bulk operators in AdS/CFT: A Holographic description of the black hole interior,” Phys. Rev. D 75
2007
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2009
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2009
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2011
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2011
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2012
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2012
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2016
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B. Czech, L. Lamprou, S. McCandlish and J. Sully, “Tensor Networks from Kinematic Space,” JHEP 1607
2016
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2016
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2016
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C. H. Lee and X. L. Qi, “Exact holographic mapping in free fermion systems,” Phys. Rev. B 93
2016
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G. Evenbly and S. White, “Entanglement renormalization and wavelets” Phys. Rev. Lett
2016
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E. M. Brehm and B. Richter, “Classical Holographic Codes,” Phys. Rev. D 96
2017
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A. Peach and S. F. Ross, “Tensor Network Models of Multiboundary Wormholes,” Class. Quant. Grav. 34
2017
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M. Bal, M. Marien, J. Haegeman, F. Verstraete, “Renormalization group flows of Hamiltonians using tensor networks,” Phys. Rev. Lett. 118
2017
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