Noncommutative Geometry and Quantum Physics Vietri sul Mare, August 31 - September 5, 2009
Home page Speakers Participants Program Picture Lodging Travel Equipment Registration Sponsors	Speaker: Yoh Tanimoto, Rome Title: Representations of the stabilizer subgroup at the point of infinity in Diff(S1) Abstract: The group Diff(S1) of all the orientation preserving diffeomorphisms of the circle plays an important role in conformal field theory. We consider a subgroup B0 of Diff(S1) whose elements stabilize the point at infinity. This subgroup is of interest of the actual physical theory living on the punctuated circle, namely the real line. The basic properties of its Lie algebra are studied. Several methods to construct representations of B0 are provided and they are shown not to extend to Diff(S1). The relation between representations of Virasoro net are explained.
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