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Journal Article

#### Group Field Theory and Holographic Tensor Networks: Dynamical Corrections to the Ryu-Takayanagi formula

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##### Fulltext (public)

1903.07344.pdf

(Preprint), 879KB

Chirco_2020_Class._Quantum_Grav._37_095011.pdf

(Publisher version), 2MB

##### Supplementary Material (public)

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##### Citation

Chirco, G., Goeßmann, A., Oriti, D., & Zhang, M. (2020). Group Field Theory and
Holographic Tensor Networks: Dynamical Corrections to the Ryu-Takayanagi formula.* Classical and Quantum
Gravity,* *37*(9): 095011. doi:10.1088/1361-6382/ab7bb9.

Cite as: http://hdl.handle.net/21.11116/0000-0003-4D80-6

##### Abstract

We introduce group field theory networks as a generalization of spin networks
and of (symmetric) random tensor networks and provide a statistical computation
of the R\'enyi entropy for a bipartite network state using the partition
function of a simple interacting group field theory. The expectation value of
the entanglement entropy is calculated by an expansion into stranded Feynman
graphs and is shown to be captured by a Ryu- Takayanagi formula. For a simple
interacting group field theory, we can prove the linear corrections, given by a
polynomial perturbation of the Gaussian measure, to be negligible for a broad
class of networks.