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.
Group field theory and tensor networks: Towards a Ryu-Takayanagi formula in full quantum gravity / Chirco, G.; Oriti, D.; Zhang, M.. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 35:11(2018), p. 115011. [10.1088/1361-6382/aabf55]
Group field theory and tensor networks: Towards a Ryu-Takayanagi formula in full quantum gravity
Chirco G.;Oriti D.;
2018
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.File in questo prodotto:
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