BPS spectrum of supersymmetric CP(N-1) theory with Z{sub N} twisted masses

Journal Article · Sat Oct 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.085004· OSTI ID:21607938

Bolokhov, Pavel A ^[1]; Shifman, Mikhail ^[1]; Yung, Alexei ^[1]

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1. William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)

We revisit the Bogomol'nyi-Prasad-Sommerfeld (BPS) monopoles spectrum of the supersymmetric CP(N-1) two-dimensional model with Z{sub N}-symmetric twisted masses m{sub 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{sub l}|<<{Lambda}. 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.

• OSTI ID: 21607938
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 84; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING
CP INVARIANCE
DIAGRAMS
INFORMATION
INVARIANCE PRINCIPLES
MASS
MATHEMATICAL MODELS
MIRRORS
MONOPOLES
PARTICLE MODELS
POTENTIALS
SPECTRA
STABILITY
STRONG-COUPLING MODEL
SUPERSYMMETRY
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS