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Critical String from Non-Abelian Vortex in Four Dimensions
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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.
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Cited by 1 Pith paper
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Search for NS 3-form Flux Induced Vacua for the Critical Non-Abelian Vortex String
NS 3-form flux on the conifold generates a potential for the baryonic modulus b whose only vacuum is a runaway to infinity, degenerating the conifold.
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