Correlators in the N=2 supersymmetric SYK model

A bstract We study correlation functions in the one-dimensional 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 model is that both symmetric a...

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Veröffentlicht in:The journal of high energy physics 2017-10, Vol.2017 (10), p.1
Hauptverfasser: Peng, Cheng, Spradlin, Marcus, Volovich, Anastasia
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Sprache:eng
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Zusammenfassung:A bstract We study correlation functions in the one-dimensional 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 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 supersymmetry. We also confirm the maximally chaotic behavior of this model and comment briefly on its 6-point functions.
ISSN:1029-8479
DOI:10.1007/JHEP10(2017)202