Curves of Marginal Stability in Two-Dimensional CP(N-1) Models with Z_N-Symmetric Twisted Masses

Abstract

We consider curves of marginal stability (CMS) in CP(N-1) models in two dimensions with N = (2, 2) supersymmetry. In these theories, one can introduce twisted mass terms. The BPS spectrum has different number 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 Z_N-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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Cited by in corpus (6)

• Non-Abelian Confinement in N=2 Supersymmetric QCD: Duality and Kinks on Confining Strings
• Large-N Solution of the Heterotic CP(N-1) Model with Twisted Masses
• BPS Spectrum of Supersymmetric CP(N-1) Theory with Z_N Twisted Masses
• Dynamics of non-Abelian strings in the theory interpolating from $\mathcal{N}=2$ to $\mathcal{N}=1$ supersymmetric QCD
• 2D-4D Correspondence: Towers of Kinks versus Towers of Monopoles in N=2 Theories
• Wall-Crossing in Supersymmetric Gauge Theories