Data: Mercoledì 18 Maggio 2011, ore 16:00
Luogo: Aula Dal Passo, Dip. Matematica, Univ. Roma "Tor Vergata"
Speaker: Yoh Tanimoto, Univ. Roma Tor Vergata
Titolo: Deformation of two-dimensional conformal field theories
Abstract: Recently, by Buchholz-Lechner-Summers, the Rieffel deformation has been applied to general quantum field theories to obtain new (wedge-local) theories with nontrivial scattering matrix. In this talk, we obtain the deformed chiral conformal theories by a purely von Neumann algebraic method and we generalize it as to involve inner symmetries. The strictly local elements are determined for the deformation with respect to periodic inner symmetries. Any asymptotically complete massless two-dimensional theory is constructed by this method. We discuss the relation with the Longo- Witten endormorphisms and further examples.