We study correlation functions in the complex fermion SYK model. We focus, specifically, on the h = 2 mode which explicitly breaks conformal invariance and exhibits the chaotic behaviour. We explicitly compute fermion six-point function and extract the corresponding six-point OTOC which exhibits an exponential growth with maximal chaos. Following the program of Gross-Rosenhaus, this correlator contains information of the bulk cubic coupling, at the conformal point as well as perturbatively away from it. Unlike the conformal modes with high values of h, the h = 2 mode has contact interaction dominating over the planar in the large q limit.

中文翻译：

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具有复杂费米子的混沌相关函数

我们研究复杂费米子 SYK 模型中的相关函数。我们特别关注 h = 2 模式，它明确打破了共形不变性并表现出混沌行为。我们明确地计算费米子六点函数并提取相应的六点 OTOC，该六点 OTOC 表现出最大混沌的指数增长。遵循 Gross-Rosenhaus 的程序，该相关器包含体积立方耦合的信息，在共形点以及远离它的微扰。与具有高 h 值的共形模式不同，h = 2 模式在大 q 限制中在平面上具有主导作用的接触相互作用。