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Non-Abelian vortex in four dimensions as a critical superstring

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Abstract

We discuss recent progress in describing a certain non-Abelian vortex string as a critical superstring on a conifold and clarify some subtle points. This particular solitonic vortex is supported in four-dimensional supersymmetric QCD with the gauge group, N f = 4 quark flavors and the Fayet–Iliopoulos term. Under certain conditions, the non-Abelian vortex can become infinitely thin and can be interpreted as a critical ten-dimensional superstring. In addition to four translational moduli, the non-Abelian vortex under consideration carries six orientational and size moduli. The vortex moduli dynamics are described by a twodimensional sigma model with the target space ℝ4 × Y 6, where Y 6 is a non-compact Calabi–Yau conifold. The closed string states that emerge in four dimensions (4D) are identified with hadrons of 4D bulk N= 2 QCD. It turns out that most of the states arising from the ten-dimensional graviton spectrum are non-dynamical in 4D. A single dynamical massless hypermultiplet associated with the deformation of the complex structure of the conifold is found. It is interpreted as a monopole–monopole baryon of the 4D theory (at strong coupling).

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Authors and Affiliations

  1. William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, MN, 55455, USA

    M. Shifman & A. Yung

  2. Petersburg Nuclear Physics Institute, National Research Center Kurchatov Institute, Gatchina, St. Petersburg, 188300, Russia

    A. Yung

  3. St. Petersburg State University, St. Petersburg, 199034, Russia

    A. Yung

Authors
  1. M. Shifman
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  2. A. Yung
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Correspondence to A. Yung.

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Shifman, M., Yung, A. Non-Abelian vortex in four dimensions as a critical superstring. Jetp Lett. 105, 60–68 (2017). https://doi.org/10.1134/S0021364017010040

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