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A new class of SYK-like models with maximal chaos

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arxiv 1808.01190 v2 pith:LOYJULLD submitted 2018-08-03 hep-th

A new class of SYK-like models with maximal chaos

classification hep-th
keywords modelbrancheschaosmaximalratiosupersymmetricauxiliarybosons
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $M/N$.

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