Definitions of entwinement
Abstract Entwinement was first introduced as the CFT dual to extremal, non-minimal geodesics of quotiented AdS3 spaces. It was heuristically meant to capture the entanglement of internal, gauged degrees of freedom, for instance in the symmetric product orbifold CFT of the D1/D5 brane system. The lit...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2023)079 |
| _version_ | 1827917303947198464 |
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| author | Ben Craps Marine De Clerck Alejandro Vilar López |
| author_facet | Ben Craps Marine De Clerck Alejandro Vilar López |
| author_sort | Ben Craps |
| collection | DOAJ |
| description | Abstract Entwinement was first introduced as the CFT dual to extremal, non-minimal geodesics of quotiented AdS3 spaces. It was heuristically meant to capture the entanglement of internal, gauged degrees of freedom, for instance in the symmetric product orbifold CFT of the D1/D5 brane system. The literature now contains different, and sometimes inequivalent, field theory definitions of entwinement. In this paper, we build a discretized lattice model of symmetric product orbifold CFTs, and explicitly construct a gauge-invariant reduced density matrix whose von Neumann entropy agrees with the holographic computation of entwinement. Refining earlier notions, our construction gives meaning to the entwinement of an interval of given size within a long string of specific length. We discuss similarities and differences with previous definitions of entwinement. |
| first_indexed | 2024-03-13T03:25:50Z |
| format | Article |
| id | doaj.art-fe9a737a72314987b905ae9b2c6bd2d0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:50Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-fe9a737a72314987b905ae9b2c6bd2d02023-06-25T11:04:46ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023313510.1007/JHEP03(2023)079Definitions of entwinementBen Craps0Marine De Clerck1Alejandro Vilar López2Theoretische Natuurkunde, Vrije Universiteit Brussel (VUB) and The International Solvay InstitutesDepartment of Applied Mathematics and Theoretical Physics, University of CambridgePhysique Théorique et Mathématique and International Solvay Institutes, Université Libre de Bruxelles (ULB)Abstract Entwinement was first introduced as the CFT dual to extremal, non-minimal geodesics of quotiented AdS3 spaces. It was heuristically meant to capture the entanglement of internal, gauged degrees of freedom, for instance in the symmetric product orbifold CFT of the D1/D5 brane system. The literature now contains different, and sometimes inequivalent, field theory definitions of entwinement. In this paper, we build a discretized lattice model of symmetric product orbifold CFTs, and explicitly construct a gauge-invariant reduced density matrix whose von Neumann entropy agrees with the holographic computation of entwinement. Refining earlier notions, our construction gives meaning to the entwinement of an interval of given size within a long string of specific length. We discuss similarities and differences with previous definitions of entwinement.https://doi.org/10.1007/JHEP03(2023)079AdS-CFT CorrespondenceGauge-Gravity CorrespondenceLattice QuantumField Theory |
| spellingShingle | Ben Craps Marine De Clerck Alejandro Vilar López Definitions of entwinement Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence Lattice Quantum Field Theory |
| title | Definitions of entwinement |
| title_full | Definitions of entwinement |
| title_fullStr | Definitions of entwinement |
| title_full_unstemmed | Definitions of entwinement |
| title_short | Definitions of entwinement |
| title_sort | definitions of entwinement |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence Lattice Quantum Field Theory |
| url | https://doi.org/10.1007/JHEP03(2023)079 |
| work_keys_str_mv | AT bencraps definitionsofentwinement AT marinedeclerck definitionsofentwinement AT alejandrovilarlopez definitionsofentwinement |