Liouville Quantum Gravity on the complex tori

Understand

In this paper, we construct Liouville Quantum Field Theory (LQFT) on the toroidal topology in the spirit of the 1981 seminal work by Polyakov.

• Our approach follows the construction carried out by the authors together with A.
• Kupiainen in the case of the Riemann sphere.
• The difference is here that the moduli space for complex tori is non trivial.