Description of the Heterotic String Solutions in the M Model

TL;DR

This paper extends the analysis of heterotic non-Abelian flux tubes to the M model, demonstrating a smooth limit to N=1 theories with no adjoint fields and deriving the associated world-sheet heterotic sigma model.

Contribution

It generalizes previous heterotic string solutions to the M model, explicitly derives zero modes, and relates microscopic parameters to the world-sheet theory, showing a smooth inite limit.

Findings

Derived the heterotic string in the M model with no adjoint fields.

Explicitly obtained all relevant zero modes.

Established a relation between microscopic and world-sheet parameters.

Abstract

We continue the study of heterotic non-Abelian 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^2 breaking N=2 supersymmetry down to N=1. In these models one cannot consider the limit \mu\to\infty 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\to\infty. This drawback is absent in the M model (hep-th/0701040) 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=(2,0) 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\to\infty 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.