Non-Abelian Strings: From Weak to Strong Coupling and Back via Duality

Journal Article · Wed Feb 10 04:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3327558· OSTI ID:21349522

Shifman, M; Yung, A ^[1]

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1. William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, MN 55455, USA and Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188300 (Russian Federation)

The crossover transition from weak coupling at largex xi to strong coupling at small xi is studied in N = 2 supersymmetric gauge theory with the U(N) gauge group and N{sub f}>N(herex xi is the Fayet--Iliopoulos parameter). We find that at strong coupling a dual non-Abelian weakly coupled N = 2 theory exists which describes low-energy physics at small xi. The dual gauge group is U(N{sub f}-N). The dual theory has N{sub f} flavors of light dyons, to be compared with N{sub f} quarks in the original U(N) theory. Both theories support non-Abelian semilocal strings. In each of these two regimes there are two varieties of physical excitations: elementary fields and nonperturbative composite states bound by confining strings. These varieties interchange upon transition from one regime to the other. We conjecture that the composite stringy states can be related to Seiberg's M fields.

• OSTI ID: 21349522
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1200; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
COMPOSITE MODELS
COUPLING
DUALITY
DYONS
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
EXCITATION
EXTENDED PARTICLE MODEL
FERMIONS
FLAVOR MODEL
GAUGE INVARIANCE
GRAVITATIONAL RADIATION
GRAVITONS
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
QUARKS
RADIATIONS
STRING MODELS
STRONG INTERACTIONS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
U GROUPS
WEAK INTERACTIONS