一个收敛的高原亏格展开
A convergent genus expansion for the plateau
摘要：
在大时间、大态密度和固定温度的条件下，我们推测了一个双尺度矩阵积分的谱形状因子公式。该公式具有收敛半径非零的亏格展开。为了理解这一系列的起源，我们比较半经典理论的“遭遇”在周期轨道。在Jackiw-Teitelboim（JT）引力中，相遇对应于模空间积分中相互抵消（在可定向的情况下）但在低能量下单独增长的部分。在亏格一，我们展示了如何充分的模空间积分解决了低能量区域，并给出了一个有限的非零答案。
英文摘要：
We conjecture a formula for the spectral form factor of a double-scaled matrix integral in the limit of large time, large density of states, and fixed temperature. The formula has a genus expansion with a nonzero radius of convergence. To understand the origin of this series, we compare to the semiclassical theory of "encounters" in periodic orbits. In Jackiw-Teitelboim (JT) gravity, encounters correspond to portions of the moduli space integral that mutually cancel (in the orientable case) but individually grow at low energies. At genus one we show how the full moduli space integral resolves the low energy region and gives a finite nonzero answer.
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