Hadrons of N=2 Supersymmetric QCD in Four Dimensions from Little String Theory

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."

43 pp, 2 figures. arXiv admin note: substantial text overlap with arXiv:1704.00825 V.2: an explanatory remark added. V.3: A remark added in Sec. 3.1; References 26 and 27 added. The final version accepted for publication in PRD

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Cited by in corpus (11)

• On the duality of massive Kalb-Ramond and Proca fields
• String "Baryon'' in Four-Dimensional $\mathcal{N}=2$ Supersymmetric QCD from 2D-4D Correspondence
• Flux Compactification for the Critical Non-Abelian Vortex and Quark Masses
• Critical Non-Abelian Vortex and Holography for Little String Theory
• 2d Sigma Models on Non-compact Calabi-Yau and $\mathcal{N}=2$ Liouville Theory
• NS Three-form Flux Deformation for the Critical Non-Abelian Vortex String
• Some comments about emission channels of non abelian vortices
• Critical Non-Abelian Vortex String and 2D N=2 Black Hole
• Dynamics of non-Abelian strings in supersymmetric gauge theories
• Quantizing a solitonic string
• Search for NS 3-form Flux Induced Vacua for the Critical Non-Abelian Vortex String