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Critical String from Non-Abelian Vortex in Four Dimensions
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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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Hadrons in $\mathcal{N}=2$ supersymmetric QCD from non-Abelian string on 2D black hole
The hadron spectrum in N=2 SQCD with N_f=2N is given by the spectrum of a non-Abelian string on a 2D N=2 supersymmetric black hole, with a Higgs-to-string phase transition viewed as a conifold transition.
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