Description of the heterotic string solutions in the M model

Journal Article · Fri May 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.106001· OSTI ID:21296388

Bolokhov, P A ^[1]; Shifman, M ^[2]; Yung, A ^[2]

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1. Physics and Astronomy Department, University of Pittsburgh, Pittsburgh, Pennsylvania, 15260 (United States)
2. William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)

We continue the study of heterotic non-Abelian Bogomolny-Prasad-Sommerfield (BPS) saturated flux tubes (strings). Previously, such solutions were obtained in U(N) gauge theories: N=2 supersymmetric QCD deformed by superpotential terms {mu}A{sup 2} breaking N=2 supersymmetry down to N=1. In these models one cannot consider the limit {mu}{yields}{infinity} which would eliminate adjoint fields: the bulk theory develops a Higgs branch; the emergence of massless particles in the bulk precludes one from taking the limit {mu}{yields}{infinity}. This drawback is absent in the M model [A. Gorsky, M. Shifman, and A. Yung, Phys. Rev. D 75, 065032 (2007)] where the matter sector includes additional ''meson'' fields M introduced in a special way. We generalize our previous results to the M model, derive the heterotic string [the string world-sheet theory is a heterotic N=(0,2) sigma model, with the CP(N-1) target space for bosonic fields and an extra right-handed fermion coupled to the fermion fields of the N=(2,2) CP(N-1) model], and then explicitly obtain all relevant zero modes. This allows us to relate parameters of the microscopic M model to those of the world-sheet theory. The limit {mu}{yields}{infinity} is perfectly smooth. Thus, the full-blown and fully analyzed heterotic string emerges, for the first time, in the N=1 theory with no adjoint fields. The fate of the confined monopoles is discussed.

• OSTI ID: 21296388
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
GAUGE INVARIANCE
HIGGS BOSONS
HIGGS MODEL
MASSLESS PARTICLES
MATHEMATICAL SOLUTIONS
MATTER
MESONS
MONOPOLES
POTENTIALS
QUANTUM CHROMODYNAMICS
SIGMA MODEL
SPACE
SUPERSYMMETRY