Particle aspects of two-dimensional conformal field theories

Particle aspects of two-dimensional conformal field theories are investigated, using methods from algebraic quantum field theory. The results include asymptotic completeness in terms of (counterparts of) Wigner particles in any vacuum sector and the existence of (counterparts of) infraparticles in any charged sector of a given chiral conformal field theory. Moreover, an interesting interplay between infraparticle's momentum and the superselection structure is demonstrated in a large class of examples. This phenomenon resembles electron's momentum superselection in quantum electrodynamics.