BPS Spectrum of Supersymmetric CP(N-1) Theory with Z_N Twisted Masses

Abstract

We revisit the BPS spectrum of the supersymmetric CP(N-1) two-dimensional model with Z_N-symmetric twisted masses m_l (l=0,1, ..., N-1). A related issue we address is that of the curves of marginal stability (CMS) in this theory. Previous analyses were incomplete. We close the gap by exploiting a number of consistency conditions. In particular, we amend the Dorey formula for the BPS spectrum. Our analysis is based on the exact Veneziano--Yankielowicz-type superpotential and on the strong-coupling spectrum of the theory found from the mirror representation at small masses, |m_l| << Λ. We show that at weak coupling the spectrum, with necessity, must include N-1 BPS towers of states, instead of just one, as was thought before. Only one of the towers is seen in the quasiclassical limit. We find the corresponding CMS for these towers, and argue that in the large-N limit they become circles, filling out a band on the plane of a single mass parameter of the model at hand. Inside the CMS, N-1 towers collapse into N stable states.

40 pages, 14 figures; minor corrections

References in corpus (5)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Non-Abelian Confinement in N=2 Supersymmetric QCD: Duality and Kinks on Confining Strings
• Central Charge Anomalies in 2D Sigma Models with Twisted Mass
• Large-N Solution of the Heterotic CP(N-1) Model with Twisted Masses
• Curves of Marginal Stability in Two-Dimensional CP(N-1) Models with Z_N-Symmetric Twisted Masses

Cited by in corpus (5)

• Resurgence and Trans-series in Quantum Field Theory: The CP(N-1) Model
• Decomposing Instantons in Two Dimensions
• Fractionalized Non-Self-Dual Solutions in the CP(N-1) Model
• 2D-4D Correspondence: Towers of Kinks versus Towers of Monopoles in N=2 Theories
• Wall-Crossing in Supersymmetric Gauge Theories