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Several two-dimensional quantum field theory models have more than one vacuum state. Familiar examples are the Sine-Gordon and the 4 2 -model. It is known that in these models there are also states, called kink states, which interpolate different vacua. A general construction scheme for kink states in the framework of algebraic quantum field theory is developed in a previous paper. However, for the application of this method, the crucial condition is the split property for wedge algebras in thedoi:10.1142/s0129055x98000288 fatcat:mt4maw6ypveptfevvtaa26tbti