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Journal Article

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

MPS-Authors

Chirco,  Goffredo
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Oriti,  Daniele
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1701.01383.pdf
(Preprint), 883KB

Chirco_2018_CQG._35_115011.pdf
(Publisher version), 2MB

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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.