Higher winding strings and confined monopoles in N=2 supersymmetric QCD

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

DOI:https://doi.org/10.1103/PHYSREVD.81.085011· OSTI ID:21409637

Auzzi, R ^[1]; Bolognesi, S ^[2]; Shifman, M ^[3]

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1. Racah Institute of Physics, Hebrew University, Jerusalem 91904 (Israel)
2. DAMTP, Center for Mathematical Sciences, Wilberforce Road, Cambridge, CB3OWA (United Kingdom)
3. William I. Fine Theoretical Physics Institute, University of Minnesota, 116 Church St. S.E., Minneapolis, Minnesota 55455 (United States)

We consider composite string solutions in N=2 SQCD with the gauge group U(N), the Fayet-Iliopoulos term {xi}{ne}0 and N (s)quark flavors. These bulk theories support non-Abelian strings and confined monopoles identified with kinks in the two-dimensional world-sheet theory. Similar and more complicated kinks (corresponding to composite confined monopoles) must exist in the world-sheet theories on composite strings. In a bid to detect them we analyze the Hanany-Tong (HT) model, focusing on a particular example of N=2. Unequal quark mass terms in the bulk theory result in the twisted masses in the N=(2,2) HT model. For spatially coinciding 2-strings, we find three distinct minima of potential energy, corresponding to three different 2-strings. Then we find BPS-saturated kinks interpolating between each pair of vacua. Two kinks can be called elementary. They emanate one unit of the magnetic flux and have the same mass as the conventional 't Hooft-Polyakov monopole on the Coulomb branch of the bulk theory ({xi}=0). The third kink represents a composite bimonopole, with twice the minimal magnetic flux. Its mass is twice the mass of the elementary confined monopole. We find instantons in the HT model, and discuss quantum effects in composite strings at strong coupling. In addition, we study the renormalization group flow in this model.

• OSTI ID: 21409637
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 8; Other Information: DOI: 10.1103/PhysRevD.81.085011; (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
FLAVOR MODEL
GAUGE INVARIANCE
INSTANTONS
MAGNETIC FLUX
MASS
MATHEMATICAL SOLUTIONS
MONOPOLES
POTENTIAL ENERGY
QUANTUM CHROMODYNAMICS
RENORMALIZATION
S QUARKS
SIMULATION
STRONG-COUPLING MODEL
SUPERSYMMETRY
TWO-DIMENSIONAL CALCULATIONS
U GROUPS
COMPOSITE MODELS
ELEMENTARY PARTICLES
ENERGY
FERMIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
QUASI PARTICLES
STRANGE PARTICLES
SYMMETRY
SYMMETRY GROUPS