Spectral form factor in the τ-scaling limit

We study the spectral form factor (SFF) of general topological gravity in limit large time and fixed temperature. It has been observed recently that this limit, called tau-scaling genus expansion SFF can be summed up late-time behavior such as ramp-plateau transition studied analytically. In paper we develop a technique for systematic computation higher order corrections to strict limit. obtain first five closed background gravity. As concrete examples, present results Airy case Jackiw-Teitelboim find above are Fourier transforms sine-kernel approximation Christoffel-Darboux kernel dual double-scaled matrix integral, which naturally explains their structure. Along way also formula, have not fully explored literature before.