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  Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity

Chirco, G., Oriti, D., & Zhang, M. (2018). Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity. Classical and quantum gravity, 35(11): 115011. doi:10.1088/1361-6382/aabf55.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-002D-0A8D-E Version Permalink: https://hdl.handle.net/21.11116/0000-0002-E955-8
Genre: Journal Article

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 Creators:
Chirco, Goffredo1, Author
Oriti, Daniele1, Author           
Zhang, Mingyi, 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: General Relativity and Quantum Cosmology, gr-qc, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,High Energy Physics - Theory, hep-th,Quantum Physics, quant-ph
 Abstract: We establish a dictionary between group field theory (thus, spin networks and random tensors) states and generalized random tensor networks. Then, we use this dictionary to compute the R\'{e}nyi entropy of such states and recover the Ryu-Takayanagi formula, in three different cases corresponding to three different truncations/approximations, suggested by the established correspondence.

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 Dates: 2017-01-052017-01-312018
 Publication Status: Issued
 Pages: 54 pages, 10 figures; v2: replace figure 1 with a new version. Matches submitted version
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 Rev. Type: -
 Identifiers: arXiv: 1701.01383
URI: http://arxiv.org/abs/1701.01383
DOI: 10.1088/1361-6382/aabf55
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 35 (11) Sequence Number: 115011 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_1