Skip to Main content Skip to Navigation
Journal articles

Liouville Quantum Gravity on the Riemann sphere

Abstract : 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.
Complete list of metadata

Cited literature [57 references]  Display  Hide  Download
Contributor : Emmanuelle de Laborderie Connect in order to contact the contributor
Submitted on : Tuesday, April 18, 2017 - 4:10:33 PM
Last modification on : Saturday, January 15, 2022 - 4:11:04 AM
Long-term archiving on: : Wednesday, July 19, 2017 - 3:24:12 PM


Files produced by the author(s)



François David, Antti Kupiainen, Rémi Rhodes, Vincent Vargas. Liouville Quantum Gravity on the Riemann sphere. Communications in Mathematical Physics, Springer Verlag, 2016, 342, pp.869 - 907. ⟨10.1007/s00220-016-2572-4⟩. ⟨cea-01509870⟩



Les métriques sont temporairement indisponibles