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