Group field theory and holographic tensor networks: dynamical corrections to the Ryu–Takayanagi formula
| dc.contributor.author | Chirco, Goffredo | |
| dc.contributor.author | Goeßmann, Alex | |
| dc.contributor.author | Oriti, Daniele | |
| dc.contributor.author | Zhang, Mingyi | |
| dc.date.accessioned | 2022-02-01T15:33:12Z | |
| dc.date.available | 2022-02-01T15:33:12Z | |
| dc.date.issued | 2020-04-09 | |
| dc.date.updated | 2022-01-28T02:14:51Z | |
| dc.description.abstract | We introduce a generalised class of (symmetric) random tensor network states in the framework of group field theory. In this setting, we compute the Rényi entropy for a generic bipartite state via a mapping to the partition function of a topological 3D BF theory, realised as 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 the simple case of a 3D BF 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. | en |
| dc.identifier.eissn | 1361-6382 | |
| dc.identifier.issn | 0264-9381 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/16240 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-15015 | |
| dc.language.iso | en | en |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en |
| dc.subject.ddc | 510 Mathematik | de |
| dc.subject.other | quantum gravity | en |
| dc.subject.other | holographic entanglement entropy | en |
| dc.subject.other | random tensor networks | en |
| dc.subject.other | group field theories | en |
| dc.subject.other | tensor models | en |
| dc.title | Group field theory and holographic tensor networks: dynamical corrections to the Ryu–Takayanagi formula | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.articlenumber | 095011 | en |
| dcterms.bibliographicCitation.doi | 10.1088/1361-6382/ab7bb9 | en |
| dcterms.bibliographicCitation.issue | 9 | en |
| dcterms.bibliographicCitation.journaltitle | Classical and Quantum Gravity | en |
| dcterms.bibliographicCitation.originalpublishername | IOP | en |
| dcterms.bibliographicCitation.originalpublisherplace | Bristol | en |
| dcterms.bibliographicCitation.volume | 37 | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik::FG Angewandte Funktionalanalysis | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.group | FG Angewandte Funktionalanalysis | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |