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arxiv: 1701.01383 · v3 · pith:TQX6AW2Tnew · submitted 2017-01-05 · 🌀 gr-qc · cond-mat.stat-mech· hep-th· quant-ph

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

Goffredo Chirco , Daniele Oriti , Mingyi Zhang This is my paper
classification 🌀 gr-qc cond-mat.stat-mechhep-thquant-ph
keywords networksdictionarydifferentfieldformulagrouprandomryu-takayanagi
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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.

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