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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.