2018/05/31 by M. Shifman, A. Yung · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.98.085013
published as Phys. Rev. D 98, 085013 (2018) · 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
arxiv created 2018/10/04 · arxiv updated 2018/10/24
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."