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This text is a survey (Bourbaki seminar) on the paper "Liouville quantum gravity and KPZ" By B.Duplantier and S.Sheffield.
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
Conformal weldings of random surfaces: quantum gravity zipper
2011/2/24
We construct a conformal welding of two Liouville quantum gravity random surfaces and show that the interface between them is a random fractal curve called the Schramm-Loewner evolution (SLE), thereby...
Quantum Gravity coupled to Matter via Noncommutative Geometry
Quantum Gravity Matter Noncommutative Geometry
2011/3/2
We show that the principal part of the Dirac Hamiltonian in 3+1 dimensions emerges in a semi-classical approximation from a construc-tion which encodes the kinematics of quantum gravity.
Schramm Loewner Evolution and Liouville Quantum Gravity
Schramm Loewner Evolution Liouville Quantum Gravity
2011/2/24
We conformally weld (via “quantum zipping”) two boundary arcs of a Liouville quantum gravity
random surface to generate a random curve called the Schramm-Loewner evolution (SLE). We develop a theory ...