Critical String from Non-Abelian Vortex in Four Dimensions

Abstract

In a class of non-Abelian solitonic vortex strings supported in certain N=2 super-Yang-Mills theories we search for the vortex which can behave as a critical fundamental string. We use the Polchinski-Strominger criterion of the ultraviolet completeness. We identify an appropriate four-dimensional bulk theory: it has the U(2) gauge group, the Fayet-Iliopoulos term and four flavor hypermultiplets. It supports semilocal vortices with the world-sheet theory for orientational (size) moduli described by the weighted CP(2,2) model. The latter is superconformal. Its target space is six-dimensional. The overall Virasoro central charge is critical. We show that the world-sheet theory on the vortex supported in this bulk model is the bona fide critical string.

4 pages, 1 fig; v.2: The paragraph following (15) is slightly expanded, Ref. [24] added; v.3 manor correction

References in corpus (3)

• On the moduli space of semilocal strings and lumps
• Effective World-Sheet Theory for Non-Abelian Semilocal Strings in N = 2 Supersymmetric QCD
• Lessons from supersymmetry: "Instead-of-Confinement" Mechanism

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