标题： 复数$q=2$ SYK 的注释 显示英文标题

标题： Notes on complex $q=2$ SYK

摘要： 本说明澄清并扩展了关于复数SYK模型的结果至可解的q = 2情况。 我们计算了低能CFT中费米子的四点函数OPE，表明在IR中存在一列整数权重算符。 我们评论了在SYK的这个特殊情况下缺乏模式破缺共形对称性以及这对理论在共形固定点附近的变形的影响。 我们利用模型的近似自由结构，为整数权重算符的OPE系数提供了一个闭合形式表达式。 我们还讨论了与q = 2 SYK在复数和实数情况下的热力学相关的分析和数值结果。 该算符序列在SL(2,R)的离散系列表示中变换，这些表示由dS2和AdS2共享。 在本工作中，我们继续讨论包含这些表示的全息模型。 显示英文摘要

摘要： This note clarifies and extends results on the complex SYK model to the solvable q = 2 case. We calculate the four point function OPE of fermions in the low energy CFT, implying the existence of a tower of integer-weight operators in the IR. We comment on the lack of a mode breaking conformal symmetry in this special case of SYK and the consequences for deformations of the theory near the conformal fixed point. We use the nearly-free structure of the model to provide a closed form expression for OPE coefficients of the integer-weight operators. We also discuss analytic and numerical results relevant to the thermodynamics of q = 2 SYK in both the complex and real case. The tower of operators transform in the discrete series of representations of SL(2,R), the representations shared by dS2 and AdS2. In this work we continue discussion of holographic models including these representations.