Non-Abelian confinement in N=2 supersymmetric QCD: Duality and kinks on confining strings

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.085009· OSTI ID:21409635

Shifman, M ^[1]; Yung, A ^[1]

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

Recently we observed a crossover transition (in the Fayet-Iliopoulos parameter) from weak to strong coupling in N=2 supersymmetric QCD with the U(N) gauge group and N{sub f}>N quark flavors. At strong coupling this theory can be described by a dual non-Abelian weakly coupled supersymmetric QCD with the dual gauge group U(N{sub f}-N) and N{sub f} light dyon flavors. Both theories support non-Abelian strings. We continue the study of confinement dynamics in these theories, in particular, metamorphoses of excitation spectra, from a different side. A number of results obtained previously are explained, enhanced and supplemented by analyzing the world-sheet dynamics on the non-Abelian confining strings. The world-sheet theory is the two-dimensional N=(2,2) supersymmetric weighted CP(N{sub f}-1) model. We explore the vacuum structure and kinks on the world sheet, corresponding to confined monopoles in the bulk theory. We show that (in the equal quark mass limit) these kinks fall into the fundamental representation of the unbroken global SU(N)xSU(N{sub f}-N)xU(1) group. This result confirms the presence of extra stringy meson states in the adjoint representation of the global group in the bulk theory. The non-Abelian bulk duality is in one-to-one correspondence with a duality taking place in the N=(2,2) supersymmetric weighted CP(N{sub f}-1) model.

• OSTI ID: 21409635
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 8; Other Information: DOI: 10.1103/PhysRevD.81.085009; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFINEMENT
CP INVARIANCE
DUALITY
EXCITATION
FLAVOR MODEL
GAUGE INVARIANCE
MASS
MESONS
MONOPOLES
QUANTUM CHROMODYNAMICS
QUARKS
SPECTRA
STRONG-COUPLING MODEL
SU GROUPS
SUPERSYMMETRY
TWO-DIMENSIONAL CALCULATIONS
U GROUPS
WEAK-COUPLING MODEL
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
FERMIONS
FIELD THEORIES
HADRONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
SYMMETRY
SYMMETRY GROUPS