We study a 2-dimensional SYK-like model with $$ \mathcal{N}=\left(0,\ 2\right) $$ supersymmetry. The model describes N chiral supermultiplets and M Fermi supermultiplets with a (q + 1)- field interaction. We solve the model analytically and numerically in the N ≫ 1, M ≫ 1 limit with $$ \mu \equiv \frac{M}{N} $$ being a free parameter. Two distinct higher-spin symmetries emerge when the μ parameter approaches the two ends of its range. This is verified by the appearance of conserved higher-spin operators and the vanishing of chaotic behaviors in the two limits. Therefore this model provides a manifest realization of the widely believed connection between SYK-like models and higher-spin theories. In addition, as the parameter μ varies we find the largest Lyapunov exponent of this model to be slightly larger than that in models with non-chiral supersymmetry.
{ "_oai": { "updated": "2019-07-24T16:11:12Z", "id": "oai:repo.scoap3.org:44850", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "USA", "value": "Department of Physics, Brown University, Providence, RI, 02912, U.S.A.", "organization": "Brown University" } ], "surname": "Peng", "email": "cheng_peng@brown.edu", "full_name": "Peng, Cheng", "given_names": "Cheng" } ], "titles": [ { "source": "Springer", "title": "<math> <mi>N</mi> <mo>=</mo> <mfenced> <mrow> <mn>0</mn> <mo>,</mo> <mspace width=\"0.25em\"></mspace> <mn>2</mn> </mrow> </mfenced> </math> $$ \\mathcal{N}=\\left(0,\\ 2\\right) $$ SYK, chaos and higher-spins" } ], "dois": [ { "value": "10.1007/JHEP12(2018)065" } ], "publication_info": [ { "page_end": "42", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2018", "artid": "JHEP122018065", "year": 2019, "page_start": "1", "journal_issue": "12" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2019-07-24T17:40:41.762075", "source": "Springer", "method": "Springer", "submission_number": "e65802daae2711e98f2d02163e01809a" }, "page_nr": [ 42 ], "license": [ { "url": "https://creativecommons.org/licenses/by/3.0", "license": "CC-BY-3.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2018" } ], "control_number": "44850", "record_creation_date": "2019-01-10T13:30:39.961131", "_files": [ { "checksum": "md5:d27a65dffabf0ace6a540bdf0f8d32cb", "filetype": "xml", "bucket": "4e9d1a76-6dc9-4bcc-bcdc-bd20fddc2d76", "version_id": "c53f3a52-ecd9-4b3a-96e8-8642d738c3b7", "key": "10.1007/JHEP12(2018)065.xml", "size": 11493 }, { "checksum": "md5:6ebbee94bb8b6a51fcb114e1d6dd836d", "filetype": "pdf/a", "bucket": "4e9d1a76-6dc9-4bcc-bcdc-bd20fddc2d76", "version_id": "551ce2f4-8ef2-4979-8b7f-c2b7a3152135", "key": "10.1007/JHEP12(2018)065_a.pdf", "size": 1144893 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "1805.09325" } ], "abstracts": [ { "source": "Springer", "value": "We study a 2-dimensional SYK-like model with <math> <mi>N</mi> <mo>=</mo> <mfenced> <mrow> <mn>0</mn> <mo>,</mo> <mspace width=\"0.25em\"></mspace> <mn>2</mn> </mrow> </mfenced> </math> $$ \\mathcal{N}=\\left(0,\\ 2\\right) $$ supersymmetry. The model describes N chiral supermultiplets and M Fermi supermultiplets with a (q + 1)- field interaction. We solve the model analytically and numerically in the N \u226b 1, M \u226b 1 limit with <math> <mi>\u03bc</mi> <mtext>\u2261</mtext> <mfrac> <mi>M</mi> <mi>N</mi> </mfrac> </math> $$ \\mu \\equiv \\frac{M}{N} $$ being a free parameter. Two distinct higher-spin symmetries emerge when the \u03bc parameter approaches the two ends of its range. This is verified by the appearance of conserved higher-spin operators and the vanishing of chaotic behaviors in the two limits. Therefore this model provides a manifest realization of the widely believed connection between SYK-like models and higher-spin theories. In addition, as the parameter \u03bc varies we find the largest Lyapunov exponent of this model to be slightly larger than that in models with non-chiral supersymmetry." } ], "imprints": [ { "date": "2019-06-14", "publisher": "Springer" } ] }