Wormhole-induced effective coupling in SYK chains
Abstract Inhomogeneous quantum chains have recently been considered in the context of developing novel discrete realizations of holographic dualities. To advance this programme, we explore the ground states of infinite chains with large number N of Majorana fermions on each site, which interact via...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)142 |
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| author | Pablo Basteiro Giuseppe Di Giulio Johanna Erdmenger René Meyer Zhuo-Yu Xian |
| author_facet | Pablo Basteiro Giuseppe Di Giulio Johanna Erdmenger René Meyer Zhuo-Yu Xian |
| author_sort | Pablo Basteiro |
| collection | DOAJ |
| description | Abstract Inhomogeneous quantum chains have recently been considered in the context of developing novel discrete realizations of holographic dualities. To advance this programme, we explore the ground states of infinite chains with large number N of Majorana fermions on each site, which interact via on-site q-body Sachdev-Ye-Kitaev (SYK) couplings, as well as via additional inhomogeneous hopping terms between nearest-neighbour sites. The hopping parameters are either aperiodically or randomly distributed. Our approach unifies techniques to solve SYK-like models in the large N limit with a real-space renormalization group method known as strong-disorder renormalization group (SDRG). We show that the SDRG decimation of SYK dots linked by a strong hopping induces an effective hopping interaction between their neighbouring sites. If two decimated sites are nearest neighbours, in the large q limit their local ground states admit a holographic dual description in terms of eternal traversable wormholes. At the end of the SDRG procedure, we obtain a factorised ground state of the infinite inhomogeneous SYK chains that we consider, which has a spacetime description involving a sequence of wormholes. This amounts to a local near-boundary description of the bulk geometry in the context of discrete holography. |
| format | Article |
| id | doaj-art-b119bd3d2d2541d58f32b31c9ded41b3 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b119bd3d2d2541d58f32b31c9ded41b32025-08-20T02:16:22ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025216910.1007/JHEP02(2025)142Wormhole-induced effective coupling in SYK chainsPablo Basteiro0Giuseppe Di Giulio1Johanna Erdmenger2René Meyer3Zhuo-Yu Xian4Institute for Theoretical Physics and Astrophysics and Würzburg-Dresden Cluster of Excellence ct.qmat, Julius-Maximilians-Universität WürzburgInstitute for Theoretical Physics and Astrophysics and Würzburg-Dresden Cluster of Excellence ct.qmat, Julius-Maximilians-Universität WürzburgInstitute for Theoretical Physics and Astrophysics and Würzburg-Dresden Cluster of Excellence ct.qmat, Julius-Maximilians-Universität WürzburgInstitute for Theoretical Physics and Astrophysics and Würzburg-Dresden Cluster of Excellence ct.qmat, Julius-Maximilians-Universität WürzburgInstitute for Theoretical Physics and Astrophysics and Würzburg-Dresden Cluster of Excellence ct.qmat, Julius-Maximilians-Universität WürzburgAbstract Inhomogeneous quantum chains have recently been considered in the context of developing novel discrete realizations of holographic dualities. To advance this programme, we explore the ground states of infinite chains with large number N of Majorana fermions on each site, which interact via on-site q-body Sachdev-Ye-Kitaev (SYK) couplings, as well as via additional inhomogeneous hopping terms between nearest-neighbour sites. The hopping parameters are either aperiodically or randomly distributed. Our approach unifies techniques to solve SYK-like models in the large N limit with a real-space renormalization group method known as strong-disorder renormalization group (SDRG). We show that the SDRG decimation of SYK dots linked by a strong hopping induces an effective hopping interaction between their neighbouring sites. If two decimated sites are nearest neighbours, in the large q limit their local ground states admit a holographic dual description in terms of eternal traversable wormholes. At the end of the SDRG procedure, we obtain a factorised ground state of the infinite inhomogeneous SYK chains that we consider, which has a spacetime description involving a sequence of wormholes. This amounts to a local near-boundary description of the bulk geometry in the context of discrete holography.https://doi.org/10.1007/JHEP02(2025)142Holography and Condensed Matter Physics (AdS/CMT)AdS-CFT CorrespondenceBlack Holes |
| spellingShingle | Pablo Basteiro Giuseppe Di Giulio Johanna Erdmenger René Meyer Zhuo-Yu Xian Wormhole-induced effective coupling in SYK chains Journal of High Energy Physics Holography and Condensed Matter Physics (AdS/CMT) AdS-CFT Correspondence Black Holes |
| title | Wormhole-induced effective coupling in SYK chains |
| title_full | Wormhole-induced effective coupling in SYK chains |
| title_fullStr | Wormhole-induced effective coupling in SYK chains |
| title_full_unstemmed | Wormhole-induced effective coupling in SYK chains |
| title_short | Wormhole-induced effective coupling in SYK chains |
| title_sort | wormhole induced effective coupling in syk chains |
| topic | Holography and Condensed Matter Physics (AdS/CMT) AdS-CFT Correspondence Black Holes |
| url | https://doi.org/10.1007/JHEP02(2025)142 |
| work_keys_str_mv | AT pablobasteiro wormholeinducedeffectivecouplinginsykchains AT giuseppedigiulio wormholeinducedeffectivecouplinginsykchains AT johannaerdmenger wormholeinducedeffectivecouplinginsykchains AT renemeyer wormholeinducedeffectivecouplinginsykchains AT zhuoyuxian wormholeinducedeffectivecouplinginsykchains |