Publication : t14/173
Liouville Quantum Gravity on the Riemann sphere
David F. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)Kupiainen A. (Department of Mathematics, University of Helsinki P.O. Box 68, FIN-00014 Helsinki, FINLAND)
Rhodes R. (LAMA, Université Paris-Est Marne-la-Vallée, Champs sur Marne, France)
Vargas V. (DMA, Ecole Normale Supérieure, 45 rue d’Ulm, 75005 Paris, France)
Abstract:Année de publication : 2014
In this paper, we rigorously construct $2d$ Liouville Quantum Field Theory on the Riemann sphere introduced in the 1981 seminal work by Polyakov "Quantum Geometry of bosonic strings". We also establish some of its fundamental properties like conformal covariance under PSL$_2(mathbb{C})$-action, Seiberg bounds, KPZ scaling laws, KPZ formula and the Weyl anomaly (Polyakov-Ray-Singer) formula for Liouville Quantum Gravity.
Revue : Commun. Math. Phys. (2014)
Preprint : arXiv:1410.7318
Lien : http://link.springer.com/article/10.1007/s00220-016-2572-4
Langue : Anglais
Fichier(s) à télécharger :
last-version.pdf publi.pdf
