Liouville Quantum Gravity on the unit disk

Understand

Our purpose is to pursue the rigorous construction of Liouville Quantum Field Theory on Riemann surfaces initiated by F.

• David, A.
• Kupiainen and the last two authors in the context of the Riemann sphere and inspired by the 1981 seminal work by Polyakov.
• In this paper, we investigate the case of simply connected domains with boundary.