BPS spectrum of supersymmetric CP(N-1) theory with ZN twisted masses

Pavel A. Bolokhov, Mikhail Shifman, Alexei Yung

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Abstract

We revisit the Bogomol'nyi-Prasad-Sommerfeld (BPS) monopoles spectrum of the supersymmetric CP(N-1) two-dimensional model with ZN-symmetric twisted masses ml (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, |ml|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.

Original languageEnglish (US)
Article number085004
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume84
Issue number8
DOIs
StatePublished - Oct 5 2011

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