Liouville quantum gravity and the Brownian map I: the $$\mathrm{QLE}(8/3,0)$$QLE(8/3,0) metric
Sign Up to like & getrecommendations! Published in 2019 at "Inventiones mathematicae"
DOI: 10.1007/s00222-019-00905-1
Abstract: Liouville quantum gravity (LQG) and the Brownian map (TBM) are two distinct models of measure-endowed random surfaces. LQG is defined in terms of a real parameter $$\gamma $$γ, and it has long been believed that… read more here.
Keywords: quantum; liouville quantum; qle; brownian map ... See more keywords
Liouville quantum gravity on the annulus
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5030409
Abstract: In this work we construct Liouville quantum gravity on an annulus in the complex plane. This construction is aimed at providing a rigorous mathematical framework to the work of theoretical physicists initiated by Polyakov in… read more here.
Keywords: gravity annulus; liouville quantum; quantum gravity;