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arxiv: 1612.03851 · v2 · pith:VMO56LWWnew · submitted 2016-12-12 · ✦ hep-th · cond-mat.str-el

A Supersymmetric SYK-like Tensor Model

Cheng Peng , Marcus Spradlin , Anastasia Volovich This is my paper
classification ✦ hep-th cond-mat.str-el
keywords modelsupersymmetricdiagramssyk-likeagreesbuiltconsidercoupling
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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.

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  1. Notes on Tensor Models and Tensor Field Theories

    hep-th 2019-07 unverdicted novelty 2.0

    Lecture notes introducing the 1/N expansion and melonic limit of tensor models, which yield new conformal field theories.