A supersymmetric SYK-like tensor model

A bstract We consider a supersymmetric SYK-like model without quenched disorder that is built by coupling two kinds of fermionic 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...

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Veröffentlicht in:The journal of high energy physics 2017-05, Vol.2017 (5), p.1-26, Article 62
Hauptverfasser: Peng, Cheng, Spradlin, Marcus, Volovich, Anastasia
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Sprache:eng
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Zusammenfassung:A bstract We consider a supersymmetric SYK-like model without quenched disorder that is built by coupling two kinds of fermionic 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2017)062