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Title: 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:
 [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 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}
}

Journal Article:
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