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Liouville Quantum Gravity on the unit disk

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.
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Contributor : Rémi Rhodes Connect in order to contact the contributor
Submitted on : Monday, June 8, 2015 - 6:10:09 PM
Last modification on : Thursday, September 29, 2022 - 2:21:15 PM
Long-term archiving on: : Tuesday, September 15, 2015 - 1:06:15 PM


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  • HAL Id : hal-01161631, version 1
  • ARXIV : 1502.04343


Yichao Huang, Rémi Rhodes, Vincent Vargas. Liouville Quantum Gravity on the unit disk. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2018. ⟨hal-01161631⟩



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