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Journal Article

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

##### Fulltext (public)

1701.01383.pdf

(Preprint), 883KB

Chirco_2018_CQG._35_115011.pdf

(Publisher version), 2MB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Chirco, G., Oriti, D., & Zhang, M. (2018). Group Field theory and Tensor Networks:
towards a Ryu-Takayanagi formula in full quantum gravity.* Classical and quantum gravity,*
*35*(11): 115011. doi:10.1088/1361-6382/aabf55.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-0A8D-E

##### 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.