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arXiv · 1701.01383

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

Goffredo Chirco·Daniele Oriti·Mingyi Zhang
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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.

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Goffredo Chirco, Daniele Oriti, Mingyi Zhang. 2017-01-05. Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity. https://doi.org/10.1088/1361-6382%2Faabf55

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