TY - JOUR

T1 - Description of the heterotic string solutions in the M model

AU - Bolokhov, P. A.

AU - Shifman, M.

AU - Yung, A.

PY - 2009/5/1

Y1 - 2009/5/1

N2 - 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 μA2 breaking N=2 supersymmetry down to N=1. In these models one cannot consider the limit μ→ 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 μ→. This drawback is absent in the M model 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 μ→ 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.

AB - 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 μA2 breaking N=2 supersymmetry down to N=1. In these models one cannot consider the limit μ→ 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 μ→. This drawback is absent in the M model 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 μ→ 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.

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U2 - 10.1103/PhysRevD.79.106001

DO - 10.1103/PhysRevD.79.106001

M3 - Article

AN - SCOPUS:66049135604

VL - 79

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 10

M1 - 106001

ER -