Abstract
We consider a supersymmetric SYK-like model without quenched disorder that is built by coupling two kinds of fermionic \( \mathcal{N}=1 \) 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.
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Peng, C., Spradlin, M. & Volovich, A. A supersymmetric SYK-like tensor model. J. High Energ. Phys. 2017, 62 (2017). https://doi.org/10.1007/JHEP05(2017)062
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DOI: https://doi.org/10.1007/JHEP05(2017)062