On construction of correlation numbers in super Minimal Liouville Gravity in the Ramond sector

The continuum formulation of noncritical string theory (super string) is equivalent to two-dimensional quantum gravity coupled to conformal matter, giving rise to Liouville (super Liouville) gravity as the effective description of the dynamics of the metric. In this talk, we will discuss the construction of the so-called correlation numbers in $N=1$ super minimal Liouville gravity. In particular, we construct the fundamental physical fields in the Ramond sector and compute the three-point correlation number involving two physical fields in the Ramond sector and one in the NS sector. Furthermore, we establish the relation between Ramond physical fields and the elements of the ground ring. Using the higher equations of motion of super Liouville theory, this relation leads to a new representation of the Ramond physical fields. This formulation enables a direct analytic computation of correlation numbers involving Ramond field insertions. As an application, we demonstrate the method in the simplest case of a three-point correlation function. The talk will be based on work arxiv:2505.23122