A string-theoretical analog of non-maximal chaos in some Sachdev-Ye-Kitaev-like models
Abstract Very recently two of the present authors have studied the chaos exponent of some Sachdev-Ye-Kitaev (SYK)-like models for arbitrary interaction strength [1]. These models carry supersymmetric (SUSY) or SUSY-like structures. Namely, bosons and Majorana fermions are both present and each of th...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2024)196 |
| _version_ | 1797276110446133248 |
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| author | Chushun Tian Chen Ma Jin Chen |
| author_facet | Chushun Tian Chen Ma Jin Chen |
| author_sort | Chushun Tian |
| collection | DOAJ |
| description | Abstract Very recently two of the present authors have studied the chaos exponent of some Sachdev-Ye-Kitaev (SYK)-like models for arbitrary interaction strength [1]. These models carry supersymmetric (SUSY) or SUSY-like structures. Namely, bosons and Majorana fermions are both present and each of them interacts with (q − 1) particles, but the model is not necessarily supersymmetric. It was found that the chaos exponents in different models, no matter whether they carry SUSY(-like) structures or not, all follow a universal single-parameter scaling law for large q, and by tuning that parameter continuously a flow from maximally chaotic to completely regular motion results. Here we report a string-theoretical analog of this chaotic phenomenon. Specifically, we consider closed string scattering near the two-sided AdS black hole, whose amplitude grows exponentially in the Schwarzschild time, with a rate determined by the Regge spin of the Pomeron exchanged during string scattering. We calculate the Pomeron Regge spin for strings of different types, including the bosonic string, the type II superstring and the heterotic superstring. We find that the Pomeron Regge spin also displays a single-parameter scaling behavior independent of string types, with the parameter depending on the string length and the length scale characterizing the spacetime curvature; moreover, the scaling function has the same limiting behaviors as that for the chaos exponent of SYK-like models. Remarkably, the flow from maximally chaotic to completely regular motion in SYK-like models corresponds to the flow of the Pomeron Regge spin from 2 to 1. |
| first_indexed | 2024-03-07T15:23:38Z |
| format | Article |
| id | doaj.art-32e78dc894f14f03871089ed1193c90a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-07T15:23:38Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-32e78dc894f14f03871089ed1193c90a2024-03-05T17:27:00ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024113910.1007/JHEP01(2024)196A string-theoretical analog of non-maximal chaos in some Sachdev-Ye-Kitaev-like modelsChushun Tian0Chen Ma1Jin Chen2CAS Key Laboratory of Theoretical Physics and Institute of Theoretical Physics, Chinese Academy of SciencesSchool of Physical Sciences, University of Chinese Academy of SciencesDepartment of Physics, Xiamen UniversityAbstract Very recently two of the present authors have studied the chaos exponent of some Sachdev-Ye-Kitaev (SYK)-like models for arbitrary interaction strength [1]. These models carry supersymmetric (SUSY) or SUSY-like structures. Namely, bosons and Majorana fermions are both present and each of them interacts with (q − 1) particles, but the model is not necessarily supersymmetric. It was found that the chaos exponents in different models, no matter whether they carry SUSY(-like) structures or not, all follow a universal single-parameter scaling law for large q, and by tuning that parameter continuously a flow from maximally chaotic to completely regular motion results. Here we report a string-theoretical analog of this chaotic phenomenon. Specifically, we consider closed string scattering near the two-sided AdS black hole, whose amplitude grows exponentially in the Schwarzschild time, with a rate determined by the Regge spin of the Pomeron exchanged during string scattering. We calculate the Pomeron Regge spin for strings of different types, including the bosonic string, the type II superstring and the heterotic superstring. We find that the Pomeron Regge spin also displays a single-parameter scaling behavior independent of string types, with the parameter depending on the string length and the length scale characterizing the spacetime curvature; moreover, the scaling function has the same limiting behaviors as that for the chaos exponent of SYK-like models. Remarkably, the flow from maximally chaotic to completely regular motion in SYK-like models corresponds to the flow of the Pomeron Regge spin from 2 to 1.https://doi.org/10.1007/JHEP01(2024)196Extended SupersymmetryHolography and Condensed Matter Physics (AdS/CMT)Scattering AmplitudesAdS-CFT Correspondence |
| spellingShingle | Chushun Tian Chen Ma Jin Chen A string-theoretical analog of non-maximal chaos in some Sachdev-Ye-Kitaev-like models Journal of High Energy Physics Extended Supersymmetry Holography and Condensed Matter Physics (AdS/CMT) Scattering Amplitudes AdS-CFT Correspondence |
| title | A string-theoretical analog of non-maximal chaos in some Sachdev-Ye-Kitaev-like models |
| title_full | A string-theoretical analog of non-maximal chaos in some Sachdev-Ye-Kitaev-like models |
| title_fullStr | A string-theoretical analog of non-maximal chaos in some Sachdev-Ye-Kitaev-like models |
| title_full_unstemmed | A string-theoretical analog of non-maximal chaos in some Sachdev-Ye-Kitaev-like models |
| title_short | A string-theoretical analog of non-maximal chaos in some Sachdev-Ye-Kitaev-like models |
| title_sort | string theoretical analog of non maximal chaos in some sachdev ye kitaev like models |
| topic | Extended Supersymmetry Holography and Condensed Matter Physics (AdS/CMT) Scattering Amplitudes AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP01(2024)196 |
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