A new class of SYK-like models with maximal chaos

Abstract

We investigate a model closely related to both the original Sachdev-Ye-Kitaev (SYK) model and the $\mathcal{N}=1$ supersymmetric SYK model. It consists of $N$ real Majorana fermions and $M$ auxiliary bosons with Yukawa interactions. We consider the large $N$ and $M$ limit and keep the ratio $M/N$ fixed. The model has two branches characterized by the conformal dimensions of fields, which we compute as a function of the ratio $M/N$. One of the branches contains the supersymmetric saddle for $M=N$. Furthermore, we determine the Lyapunov exponent of the model and find maximal chaos independent of $M/N$.

arXiv comment24 pages, 7 figures. v2: error corrected and chaos bound now satisfied

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• Universal theory of strange metals from spatially random interactions
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• The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions
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• Solvable Theory of a Strange Metal at the Breakdown of a Heavy Fermi Liquid
• Correlation functions for open strings and chaos
• Fractionalized Fermi liquids and the cuprate phase diagram
• $\mathcal{N}=2$ SYK models with dynamical bosons and fermions
• Interaction-mitigated Landau damping
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