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Title: A supersymmetric SYK-like tensor model

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [1];  [1]
  1. Brown Univ., Providence, RI (United States). Dept. of Physics

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.

Research Organization:
Brown Univ., Providence, RI (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0010010
OSTI ID:
1393560
Journal Information:
Journal of High Energy Physics (Online), Vol. 2017, Issue 5; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 80 works
Citation information provided by
Web of Science

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Cited By (25)

Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions journal January 2019
Hints of unitarity at large N in the O(N )3 tensor field theory journal February 2020
Line of fixed points in a bosonic tensor model journal June 2019
On the replica structure of Sachdev-Ye-Kitaev model journal September 2019
Menagerie of AdS2 boundary conditions journal October 2017
On melonic supertensor models journal October 2018
The 1 / N Expansion of the Symmetric Traceless and the Antisymmetric Tensor Models in Rank Three journal August 2019
An introduction to the SYK model journal July 2019
Family of Sachdev-Ye-Kitaev models motivated by experimental considerations journal June 2018
Conformality of 1 / N corrections in Sachdev-Ye-Kitaev-like models journal December 2019
Supersymmetric tensor model at large N and small ε journal January 2020
Analytical spectral density of the Sachdev-Ye-Kitaev model at finite N journal September 2017
Tensorial Gross-Neveu models text January 2018
Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N text January 2017
Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization text January 2017
Three Dimensional View of the SYK/AdS Duality text January 2017
Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath text January 2017
Eigenstate thermalization in the Sachdev-Ye-Kitaev model text January 2017
Notes on Melonic $O(N)^{q-1}$ Tensor Models text January 2017
Supersymmetric SYK Model with Global Symmetry text January 2017
Exact moments of the Sachdev-Ye-Kitaev model up to order $1/N^2$ text January 2018
Towards a bulk description of higher spin SYK text January 2018
2PI effective action for the SYK model and tensor field theories text January 2018
On Melonic Supertensor Models text January 2018
Hints of unitarity at large $N$ in the $O(N)^3$ tensor field theory text January 2019

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