标题： 双标度SYK模型中弦图的晚期斜坡 显示英文标题

标题： The late time ramp from chord diagrams in the double-scaled SYK model

摘要： 我们从双尺度SYK中的弦图中解析计算谱形因子的斜坡部分。 我们将双迹关联函数映射到一组算符基下的单迹两点函数之和。 然后，我们从弦图的角度再现随机矩阵理论中的局部本征值相关性，这是双尺度SYK的$q= 0$极限，并确定产生晚期斜坡的相关算符。 然后我们将计算扩展到有限的$q$，从而得到谱形因子的晚期时间贡献。 我们验证了有限$q$计算的晚期时间渐进行为产生了预期的晚期斜坡。 我们的计算还提供了相应的喇叭partition function和弦的粘合因子，这些是弦类比于拓扑递归的基础。 显示英文摘要

摘要： We compute the ramp of the spectral form factor analytically from chord diagrams in double scaled SYK. We map the double-trace correlator to a sum of single trace two-point functions over a basis of operators. We then reproduce the local eigenvalue correlations in random matrix theory from the chord diagrams perspective, which is the $q= 0$ limit of double scaled SYK, and identify the relevant operators that give rise to the late-time ramp. We then extend the computation to finite $q$, resulting in the late time contribution to the spectral form factor. We verify that the late time asymptotics of the finite $q$ computation gives rise to the expected late time ramp. Our computation also provides the corresponding trumpet partition function and gluing factor for chords, which form the basis of a chord analog to topological recursion.