KPZ formula derived from Liouville heat kernel

Understand

In this paper, we establish the Knizhnik--Polyakov--Zamolodchikov (KPZ) formula of Liouville quantum gravity, using the heat kernel of Liouville Brownian motion.

• This derivation of the KPZ formula was first suggested by F.
• David and M.
• Bauer in order to get a geometrically more intrinsic way of measuring the dimension of sets in Liouville quantum gravity.