Holographic Entanglement in Group Field Theory

Holographic Entanglement in Group Field Theory

This work is meant as a review summary of a series of recent results concerning the derivation of a <i>holographic</i> 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...

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Main Author: Goffredo Chirco
Format: Article
Language:English
Published: MDPI AG 2019-10-01
Series:Universe
Subjects:
holographic entanglement
quantum gravity
group field theory
random tensor networks
quantum many-body physics
quantum geometry
Online Access:https://www.mdpi.com/2218-1997/5/10/211
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spelling doaj-916f12806d3644eca636c5c33686ec432020-11-25T01:23:42ZengMDPI AGUniverse2218-19972019-10-0151021110.3390/universe5100211universe5100211Holographic Entanglement in Group Field TheoryGoffredo Chirco0Romanian Institute of Science and Technology (RIST), Strada Virgil Fulicea 17, 400022 Cluj-Napoca, RomaniaThis work is meant as a review summary of a series of recent results concerning the derivation of a <i>holographic</i> 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 R&#233;nyi 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.https://www.mdpi.com/2218-1997/5/10/211holographic entanglementquantum gravitygroup field theoryrandom tensor networksquantum many-body physicsquantum geometry
collection DOAJ
language English
format Article
sources DOAJ
author Goffredo Chirco
spellingShingle Goffredo Chirco
Holographic Entanglement in Group Field Theory
Universe
holographic entanglement
quantum gravity
group field theory
random tensor networks
quantum many-body physics
quantum geometry
author_facet Goffredo Chirco
author_sort Goffredo Chirco
title Holographic Entanglement in Group Field Theory
title_short Holographic Entanglement in Group Field Theory
title_full Holographic Entanglement in Group Field Theory
title_fullStr Holographic Entanglement in Group Field Theory
title_full_unstemmed Holographic Entanglement in Group Field Theory
title_sort holographic entanglement in group field theory
publisher MDPI AG
series Universe
issn 2218-1997
publishDate 2019-10-01
description This work is meant as a review summary of a series of recent results concerning the derivation of a <i>holographic</i> 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 R&#233;nyi 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.
topic holographic entanglement
quantum gravity
group field theory
random tensor networks
quantum many-body physics
quantum geometry
url https://www.mdpi.com/2218-1997/5/10/211
work_keys_str_mv AT goffredochirco holographicentanglementingroupfieldtheory
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