A renormalization approach to the Liouville quantum gravity metric

This thesis explores metric properties of Liouville quantum gravity (LQG), a random geometry with conformal symmetries introduced in the context of string theory by Polyakov in the 80’s. Formally, it corresponds to the Riemannian metric tensor “e^{γh}(dx² + dy²)” where h is a planar Gaussian free fi...

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Bibliographic Details
Main Author: Falconet, Hugo Pierre
Language:English
Published: 2021
Subjects:
Online Access:https://doi.org/10.7916/d8-f9v7-7j12