  We discuss two-dimensional quantum gravity coupled to conformal matter and
fixed area in a semiclassical large and negative matter central charge limit.
In this setup the gravity theory -- otherwise highly fluctuating -- admits a
round two-sphere saddle. We discuss the two-sphere partition function up to
two-loop order from the path integral perspective. This amounts to studying
Feynman diagrams incorporating the fixed area constraint on the round
two-sphere. In particular we find that all ultraviolet divergences cancel to
this order. We compare our results with the two-sphere partition function
obtained from the DOZZ formula.

High Energy Physics - Theory;General Relativity and Quantum Cosmology