Abstract
There are several two dimensional quantum field theory models which are equipped with different vacuum states. For example the Sine-Gordon- and the
ϕ
4
2
-model. It is known that in these models there are also states, called soliton- or kink-states, which interpolate different vacua. We consider the following question: Which are the properties a pair of vacuum sates must have, such that an interpolating kink-state can be constructed? Since we are interested in structural aspects and not in specific details of a given model, we are going to discuss this question in the framework of algebraic quantum field theory which includes, for example, the
P(ϕ
)
2
-models. We have shown that for a large class of vacuum states, including the vacua of the
P(ϕ
)
2
-models, there is a natural way to construct an interpolating kink-state.