Correlators in the N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model
Abstract We study correlation functions in the one-dimensional N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model. The leading order 4-point correlation functions are computed by summing over ladder diagrams expanded in a suitable basis of conformal eigenfunctions. A novelty of the N = 2 $$ \mathcal...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2017)202 |
| _version_ | 1818991240286306304 |
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| author | Cheng Peng Marcus Spradlin Anastasia Volovich |
| author_facet | Cheng Peng Marcus Spradlin Anastasia Volovich |
| author_sort | Cheng Peng |
| collection | DOAJ |
| description | Abstract We study correlation functions in the one-dimensional N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model. The leading order 4-point correlation functions are computed by summing over ladder diagrams expanded in a suitable basis of conformal eigenfunctions. A novelty of the N = 2 $$ \mathcal{N}=2 $$ model is that both symmetric and antisymmetric eigenfunctions are required. Although we use a component formalism, we verify that the operator spectrum and 4-point functions are consistent with N = 2 $$ \mathcal{N}=2 $$ supersymmetry. We also confirm the maximally chaotic behavior of this model and comment briefly on its 6-point functions. |
| first_indexed | 2024-12-20T20:07:07Z |
| format | Article |
| id | doaj.art-d20b1c2bac2045108c364173aac7c716 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T20:07:07Z |
| publishDate | 2017-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d20b1c2bac2045108c364173aac7c7162022-12-21T19:27:55ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171012810.1007/JHEP10(2017)202Correlators in the N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK modelCheng Peng0Marcus Spradlin1Anastasia Volovich2Department of Physics, Brown UniversityDepartment of Physics, Brown UniversityDepartment of Physics, Brown UniversityAbstract We study correlation functions in the one-dimensional N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model. The leading order 4-point correlation functions are computed by summing over ladder diagrams expanded in a suitable basis of conformal eigenfunctions. A novelty of the N = 2 $$ \mathcal{N}=2 $$ model is that both symmetric and antisymmetric eigenfunctions are required. Although we use a component formalism, we verify that the operator spectrum and 4-point functions are consistent with N = 2 $$ \mathcal{N}=2 $$ supersymmetry. We also confirm the maximally chaotic behavior of this model and comment briefly on its 6-point functions.http://link.springer.com/article/10.1007/JHEP10(2017)2021/N ExpansionExtended SupersymmetryField Theories in Lower DimensionsAdS-CFT Correspondence |
| spellingShingle | Cheng Peng Marcus Spradlin Anastasia Volovich Correlators in the N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model Journal of High Energy Physics 1/N Expansion Extended Supersymmetry Field Theories in Lower Dimensions AdS-CFT Correspondence |
| title | Correlators in the N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model |
| title_full | Correlators in the N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model |
| title_fullStr | Correlators in the N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model |
| title_full_unstemmed | Correlators in the N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model |
| title_short | Correlators in the N = 2 $$ \mathcal{N}=2 $$ supersymmetric SYK model |
| title_sort | correlators in the n 2 mathcal n 2 supersymmetric syk model |
| topic | 1/N Expansion Extended Supersymmetry Field Theories in Lower Dimensions AdS-CFT Correspondence |
| url | http://link.springer.com/article/10.1007/JHEP10(2017)202 |
| work_keys_str_mv | AT chengpeng correlatorsinthen2mathcaln2supersymmetricsykmodel AT marcusspradlin correlatorsinthen2mathcaln2supersymmetricsykmodel AT anastasiavolovich correlatorsinthen2mathcaln2supersymmetricsykmodel |