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Holographic Entanglement in Group Field Theory

1
Romanian Institute of Science and Technology (RIST), Strada Virgil Fulicea 17, 400022 Cluj-Napoca, Romania
2
Max Planck Institute for Gravitational Physics, Albert Einstein Institute, Am Mühlenberg 1, 14476 Golm, Germany
Universe 2019, 5(10), 211; https://doi.org/10.3390/universe5100211
Received: 5 August 2019 / Revised: 1 October 2019 / Accepted: 4 October 2019 / Published: 9 October 2019
(This article belongs to the Special Issue Progress in Group Field Theory and Related Quantum Gravity Formalisms)
This work is meant as a review summary of a series of recent results concerning the derivation of a holographic entanglement entropy formula for generic open spin network states in the group field theory (GFT) approach to quantum gravity. The statistical group-field computation of the Rényi entropy for a bipartite network state for a simple interacting GFT is reviewed, within a recently proposed dictionary between group field theories and random tensor networks, and with an emphasis on the problem of a consistent characterisation of the entanglement entropy in the GFT second quantisation formalism. View Full-Text
Keywords: holographic entanglement; quantum gravity; group field theory; random tensor networks; quantum many-body physics; quantum geometry holographic entanglement; quantum gravity; group field theory; random tensor networks; quantum many-body physics; quantum geometry
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Chirco, G. Holographic Entanglement in Group Field Theory. Universe 2019, 5, 211.

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