Abstract
It was recently shown that non-Abelian vortex strings supported in a version of four-dimensional N=2 supersymmetric QCD (SQCD) become critical superstrings. In addition to four translational moduli, non-Abelian strings under consideration have six orientational and size moduli. Together they form a ten-dimensional target space required for a superstring to be critical, namely, the product of the flat four-dimensional space and conifold -- a non-compact Calabi-Yau threefold. In this paper we report on further studies of low-lying closed string states which emerge in four dimensions and identify them as hadrons of our four-dimensional N=2 SQCD. We use the approach based on "little string theory," describing critical string on the conifold as a non-critical $c=1$ string with the Liouville field and a compact scalar at the self-dual radius. In addition to massless hypermultiplet found earlier we observe several massive vector multiplets and a massive spin-2 multiplet, all belonging to the long (non-BPS) representations of N=2 supersymmetry in four dimensions. All the above states are interpreted as baryons formed by a closed string with confined monopoles attached. Our construction presents an example of a "reverse holography."
Highlights
It was recently shown that non-Abelian vortex strings supported in a version of four-dimensional N 1⁄4 2 supersymmetric QCD become critical superstrings
In this paper we report on further studies of low-lying closed string states that emerge in four dimensions and identify them as hadrons of our four-dimensional N 1⁄4 2 QCD
In this paper we continue studying the spectrum of fourdimensional “hadrons” formed by the closed critical string [1], which in turn can be obtained from a solitonic vortex string under an appropriate choice of the coupling constant [2]
Summary
In this paper we continue studying the spectrum of fourdimensional “hadrons” formed by the closed critical string [1], which in turn can be obtained from a solitonic vortex string under an appropriate choice of the coupling constant [2]. Once the nature of the confining string is understood the second task is to quantize this string in 4D theory outside the critical dimension to study the hadron spectrum Most solitonic strings, such as the ANO strings, have a finite thickness manifesting itself in the presence of an infinite series of unknown higher-derivative corrections in the effective sigma model on the string world sheet. For N 1⁄4 2 the dimension of the orientational/size moduli space is 6 and they can be combined with four translational moduli to form a ten-dimensional space required for superstring to become critical.1 In this case the target space of the world-sheet twodimensional (2D) theory on the non-Abelian vortex string is R4 × Y6, where Y6 is a noncompact six-dimensional. In Appendix B we review long N 1⁄4 2 supermultiplets in 4D
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