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

- Authors:

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

- Publication Date:

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

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1502114

- Grant/Contract Number:
- SC0010010

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 1/N Expansion; Extended Supersymmetry; Field Theories in Lower Dimensions; AdS-CFT Correspondence

### Citation Formats

```
Peng, Cheng, Spradlin, Marcus, and Volovich, Anastasia.
```*Correlators in the $ \mathcal{N}=2 $ supersymmetric SYK model*. United States: N. p., 2017.
Web. doi:10.1007/jhep10(2017)202.

```
Peng, Cheng, Spradlin, Marcus, & Volovich, Anastasia.
```*Correlators in the $ \mathcal{N}=2 $ supersymmetric SYK model*. United States. doi:10.1007/jhep10(2017)202.

```
Peng, Cheng, Spradlin, Marcus, and Volovich, Anastasia. Mon .
"Correlators in the $ \mathcal{N}=2 $ supersymmetric SYK model". United States. doi:10.1007/jhep10(2017)202. https://www.osti.gov/servlets/purl/1502114.
```

```
@article{osti_1502114,
```

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

author = {Peng, Cheng and Spradlin, Marcus and Volovich, Anastasia},

abstractNote = {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.},

doi = {10.1007/jhep10(2017)202},

journal = {Journal of High Energy Physics (Online)},

issn = {1029-8479},

number = 10,

volume = 2017,

place = {United States},

year = {2017},

month = {10}

}

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