  A convenient framework to treat massless two-dimensional scattering theories
has been established by Buchholz. In this framework, we show that the
asymptotic algebra and the scattering matrix completely characterize the given
theory under asymptotic completeness and standard assumptions.
  Then we obtain several families of interacting wedge-local nets by a purely
von Neumann algebraic procedure. One particular case of them coincides with the
deformation of chiral CFT by Buchholz-Lechner-Summers. In another case, we
manage to determine completely the strictly local elements. Finally, using
Longo-Witten endomorphisms on the U(1)-current net and the free fermion net, a
large family of wedge-local nets is constructed.
