A note on strongly additive conformal field theory and half-sided modular conormal standard inclusions

Given a half-sided modular standard inclusion (N , ) of von-Neumann algebras which is conormal, we construct a chiral conformal quantum field theory on the circle. Conversely, a conformal quantum field theory on the circle which fulfills, in addition, the property of strong additivity, yields such data in a natural way.Partly supported by the DFG, SFB 288 Differentialgeometrie und Quantenphysik.