Speaker
Joerg Teschner, Hamburg/DESY
Abstract
A central problem in the harmonic analysis of the group of diffeomorphisms of the unit
circle is to find the analog of the Clebsch-Gordan decomposition of tensor products of
representations into irreducible representations. The appropriate notion of the tensor
product of representations is the fusion product from conformal field theory.
The goal of this talk is to formulate and motivate a conjecture on the density describing
the weight of an irreducible representation in the decomposition of the fusion product
of the Virasoro representations appearing in the spectrum of Liouville conformal field
theory. We hope that a proof of this conjecture can be achieved using the probabilistic
approach to Liouville CFT.