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 $$ \mathcal...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2017)202 |
| Summary: | Abstract We study correlation functions in the one-dimensional N = 2 $$ \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. |
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| ISSN: | 1029-8479 |