Uniqueness of the critical and supercritical Liouville quantum gravity metrics
Jian Ding, Ewain Gwynne
Abstract
We show that for each M An earlier series of works by Ding-Dubdat-Dunlap-Falconet, Gwynne-Miller, and others showed that such a metric exists and is unique in the subcritical case M (-, 1), which corresponds to coupling constant (0, 2). The critical case M = 1 corresponds to = 2 and the supercriti-
Topics & Concepts
UniquenessMathematicsSupercritical fluidQuantumQuantum gravityMathematical physicsPure mathematicsMathematical analysisQuantum mechanicsPhysicsThermodynamicsBlack Holes and Theoretical PhysicsGeometry and complex manifoldsStochastic processes and statistical mechanics