Work

Liouville Quantum Gravity on the unit disk

Year: 2015

Type: preprint

Abstract: Our purpose is to pursue the rigorous construction of Liouville Quantum Field Theory on Riemann surfaces initiated by F. David, A. Kupiainen and the last two authors in the context of the Riemann sphere and inspired by the 1981 seminal work by Polyakov. In this paper, we investigate the case of simply connected domains with boundary. We also make precise conjectures about the relationship of this theory to scaling limits of random planar maps with boundary conformally embedded onto the disk.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1502.04343

Authors: Huang, Yichao, Rhodes, Rémi, Vargas, Vincent

Institutions: École Normale Supérieure - PSL, Département de mathématiques et applications, Centre National de la Recherche Scientifique, Université Paris-Est Créteil, Laboratoire d’Analyse et de Mathématiques Appliquées, Université Paris-Est Marne-la-Vallée

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1494575890

Cites: 25

Cited by: 8

Related to: 10