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  Ryu-Takayanagi Formula for Symmetric Random Tensor Networks

Chirco, G., Oriti, D., & Zhang mi, M. (2018). Ryu-Takayanagi Formula for Symmetric Random Tensor Networks. Physical Review D, 97: 126002. doi:10.1103/PhysRevD.97.126002.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-3D42-2 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E954-9
Genre: Journal Article

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 Creators:
Chirco, Goffredo1, Author
Oriti, Daniele1, Author              
Zhang mi, Mingyi1, Author
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,Quantum Physics, quant-ph
 Abstract: We consider the special case of Random Tensor Networks (RTN) endowed with gauge symmetry constraints on each tensor. We compute the R\`enyi entropy for such states and recover the Ryu-Takayanagi (RT) formula in the large bond regime. The result provides first of all an interesting new extension of the existing derivations of the RT formula for RTNs. Moreover, this extension of the RTN formalism brings it in direct relation with (tensorial) group field theories (and spin networks), and thus provides new tools for realizing the tensor network/geometry duality in the context of background independent quantum gravity, and for importing quantum gravity tools in tensor network research.

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 Dates: 2017-11-272018
 Publication Status: Published in print
 Pages: 10 pages, 4 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1711.09941
URI: http://arxiv.org/abs/1711.09941
DOI: 10.1103/PhysRevD.97.126002
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 97 Sequence Number: 126002 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258