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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.
Cited literature [57 references]
https://hal-cea.archives-ouvertes.fr/cea-01509870
Contributor : Emmanuelle de Laborderie <>
Submitted on : Tuesday, April 18, 2017 - 4:10:33 PM
Last modification on : Friday, August 20, 2021 - 4:20:02 PM
Long-term archiving on: : Wednesday, July 19, 2017 - 3:24:12 PM
Contributor : Emmanuelle de Laborderie <>
Submitted on : Tuesday, April 18, 2017 - 4:10:33 PM
Last modification on : Friday, August 20, 2021 - 4:20:02 PM
Long-term archiving on: : Wednesday, July 19, 2017 - 3:24:12 PM
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1410.7318.pdf
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