Group field theory and tensor networks: towards a Ryu–Takayanagi formula in full quantum gravity

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Publication:4581007

DOI10.1088/1361-6382/AABF55zbMATH Open1393.83015arXiv1701.01383OpenAlexW3104547712WikidataQ129844481 ScholiaQ129844481MaRDI QIDQ4581007

Author name not available (Why is that?)

Publication date: 22 August 2018

Published in: (Search for Journal in Brave)

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 two different cases corresponding to two different truncations/approximations, suggested by the established correspondence.


Full work available at URL: https://arxiv.org/abs/1701.01383



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