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

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 نشر من قبل Mingyi Zhang
 تاريخ النشر 2017
  مجال البحث فيزياء
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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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