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Title: 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:
 [1];  [1];  [1]
  1. 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}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 19 works
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