In QFT based particle theory, SU(N)-colored particles are not really present as asymptotic states, then raising some problems to build a S-matrix or other more axiomatic approaches to the theory.
Given that I have the imaginery of a oriented string as one terminated in a particle/antiparticle pair, and an unoriented string as one terminated in a pair of particles or antiparticles, I would expect that only oriented string theories have a S-matrix formulation. Is this true? If not, which is the fail in my visualisation?