ON THE ALGEBRAIC-THEORY OF SOLITON AND ANTISOLITON SECTORS

We consider the properties of massive one-particle states on a transla tion covariant Haag-Kastler net in Minkowski space. In two-dimensional theories, these states can be interpreted as soliton states and we ar e interested in the existence of antisolitons. It is shown that for ea ch soliton state there are three different possibilities for the const ruction of an antisoliton sector which are equivalent if the (statisti cal) dimension of the corresponding soliton sector is finite.