Abstract
We consider curves of marginal models in two dimensions with supersymmetry. In these theories, one can introduce twisted mass terms. The BPS spectrum has different numbers of states in the weak and strong coupling regimes. This spectral restructuring can be explained by the fact that two regimes are separated by CMS on which some BPS states decay. We focus on a special case of ZN-symmetric twisted masses. In this case, the general solution due to Dorey greatly simplifies, and CMS can be found explicitly. For small-N values numerical results are presented. In the large-N limit, we find CMS analytically up to ln N/N corrections.
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