A Supersymmetric SYK-like Tensor Model
High Energy Physics - Theory
2017-06-07 v2 Strongly Correlated Electrons
Abstract
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.
Keywords
Cite
@article{arxiv.1612.03851,
title = {A Supersymmetric SYK-like Tensor Model},
author = {Cheng Peng and Marcus Spradlin and Anastasia Volovich},
journal= {arXiv preprint arXiv:1612.03851},
year = {2017}
}
Comments
29 pages, 19 figures. v2: 3 references and more details of the computation in section 3.1 are added