Publication : t17/139
Large Strebel graphs and (3,2) Liouville CFT
Charbonnier S. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)Eynard B. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
David F. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Abstract:Année de publication : 2017
2D quantum gravity is the idea that a set of discretized surfaces (called map, a graph on a surface), equipped with a graph measure, converges in the large size limit (large number of faces) to a conformal field theory (CFT), and in the simplest case to the simplest CFT known as pure gravity, also known as the gravity dressed (3,2) minimal model. Here we consider the set of planar Strebel graphs (planar trivalent metric graphs) with fixed perimeter faces, with the measure product of Lebesgue measure of all edge lengths, submitted to the perimeter constraints. We prove that expectation values of a large class of observables indeed converge towards the CFT amplitudes of the (3,2) minimal model.
Revue : Ann. Henri Poincaré (2017)
DOI : https://doi.org/10.1007/s00023-018-0662-x
Preprint : arXiv:1709.02709
Lien : https://link.springer.com/content/pdf/10.1007%2Fs00023-018-0662-x.pdf
Langue : Anglais
Fichier(s) à télécharger :
draft-strebel-graphs.pdf 10.1007-s00023-018-0662-x.pdf
