# A supersymmetric SYK-like tensor model

## Abstract

We consider a supersymmetric SYK-like model without quenched disorder that is built by coupling two kinds of fermionic Ν = 1 tensor-valued superfields, ''quarks'' and ''mesons''. We prove that the model has a well-defined large-N limit in which the (s)quark 2-point functions are dominated by mesonic ''melon'' diagrams. We sum these diagrams to obtain the Schwinger-Dyson equations and show that in the IR, the solution agrees with that of the supersymmetric SYK model.

- Authors:

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

- Publication Date:

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

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1393560

- Grant/Contract Number:
- SC0010010

- Resource Type:
- Journal Article: Accepted Manuscript

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

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 5; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N Expansion; Field Theories in Lower Dimensions; AdS-CFT Correspondence; Global Symmetries

### Citation Formats

```
Peng, Cheng, Spradlin, Marcus, and Volovich, Anastasia.
```*A supersymmetric SYK-like tensor model*. United States: N. p., 2017.
Web. doi:10.1007/JHEP05(2017)062.

```
Peng, Cheng, Spradlin, Marcus, & Volovich, Anastasia.
```*A supersymmetric SYK-like tensor model*. United States. doi:10.1007/JHEP05(2017)062.

```
Peng, Cheng, Spradlin, Marcus, and Volovich, Anastasia. Thu .
"A supersymmetric SYK-like tensor model". United States.
doi:10.1007/JHEP05(2017)062. https://www.osti.gov/servlets/purl/1393560.
```

```
@article{osti_1393560,
```

title = {A supersymmetric SYK-like tensor model},

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

abstractNote = {We consider a supersymmetric SYK-like model without quenched disorder that is built by coupling two kinds of fermionic Ν = 1 tensor-valued superfields, ''quarks'' and ''mesons''. We prove that the model has a well-defined large-N limit in which the (s)quark 2-point functions are dominated by mesonic ''melon'' diagrams. We sum these diagrams to obtain the Schwinger-Dyson equations and show that in the IR, the solution agrees with that of the supersymmetric SYK model.},

doi = {10.1007/JHEP05(2017)062},

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

number = 5,

volume = 2017,

place = {United States},

year = {Thu May 11 00:00:00 EDT 2017},

month = {Thu May 11 00:00:00 EDT 2017}

}

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Cited by: 36 works

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