Correlators in the $ \mathcal{N}=2 $ supersymmetric SYK model

Peng, Cheng; Spradlin, Marcus; Volovich, Anastasia

doi:10.1007/jhep10(2017)202

Correlators in the $$ \mathcal{N}=2 $$ supersymmetric SYK model

Journal Article · Mon Oct 30 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep10(2017)202· OSTI ID:1502114

Peng, Cheng ^[1]; Spradlin, Marcus ^[2]; Volovich, Anastasia ^[2]

Brown Univ., Providence, RI (United States). Dept. of Physics; Brown Univ., Providence, RI (United States)
Brown Univ., Providence, RI (United States). Dept. of Physics

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. Here, we also confirm the maximally chaotic behavior of this model and comment briefly on its 6-point functions.

View Accepted Manuscript (DOE)

Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010010

OSTI ID:: 1502114

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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