Liouville Quantum Gravity with Central Charge in (1,25)

Explore recent developments in Liouville quantum gravity within the supercritical phase through this mathematical lecture that examines the case where central charge c falls within the interval (1, 25), corresponding to coupling constant γ ∈ ℂ with |γ|=2. Discover key findings including the existence of a metric structure, the absence of an area measure, coupling mechanisms with CLE_4 (Conformal Loop Ensembles), and important connections to random planar maps. Learn about the mathematical framework and theoretical implications of strongly coupled Liouville quantum gravity, drawing from collaborative research involving Morris Ang, Manan Bhatia, Jian Ding, and Jinwoo Sung. Gain insights into this specialized area of mathematical physics that bridges quantum field theory, probability theory, and geometric analysis.