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Uniqueness of the critical and supercritical Liouville quantum gravity metrics

Uniqueness of the critical and supercritical Liouville quantum gravity metrics

We show that for each c M āˆˆ [ 1 , 25 ) ${\mathbf {c}}_{\mathrm{M}} \in [1,25)$ , there is a unique metric associated with Liouville quantum gravity (LQG) with matter central charge c M ${\mathbf {c}}_{\mathrm{M}}$ . An earlier series of works by Dingā€“DubĆ©datā€“Dunlapā€“Falconet, Gwynneā€“Miller, and others showed that ā€¦