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Title: Description of the heterotic string solutions in the M model

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2];  [2]
  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, Vol. 79, Issue 10; Other Information: DOI: 10.1103/PhysRevD.79.106001; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English

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