Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model

Abstract

We study correlation functions in the one-dimensional $\mathcal{N}=2$ 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 $\mathcal{N}=2$ 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 $\mathcal{N}=2$ supersymmetry. We also confirm the maximally chaotic behavior of this model and comment briefly on its 6-point functions.

31 pages, 3 figures, v2: several minor typos corrected

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Cited by in corpus (51)

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• Thouless time for mass-deformed SYK
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• From Kronecker to tableau pseudo-characters in tensor models
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• On Melonic Supertensor Models
• A 3d disordered superconformal fixed point
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
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• Melonic Dominance in Subchromatic Sextic Tensor Models
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