Speaker: Yoh Tanimoto (Universität Göttingen)

Title: Construction of wedge-local nets through Longo-Witten endomorphisms

Abstract: Longo and Witten have studied a certain kind of endomorphisms of the chiral component of the free massless field algebra to construct nets of von Neumann algebras on two-dimensional spacetime with boundary. We find that it is possible to construct wedge-local nets on two-dimensional spacetime without boundary using such endomorphisms. It turns out that these constructions coincide with the deformed nets recently investigated by Lechner. We further construct a new family of endomorphisms and accordingly new wedge-local nets.