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All exact solutions of non-Abelian vortices from Yang-Mills instantons

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Abstract

We successfully exhaust the complete set of exact solutions of non-Abelian vortices in a quiver gauge theory, that is, the S[U(N) × U(N)] gauge theory with a bifudamental scalar field on a hyperbolic plane with a certain curvature, from SO(3)-invariant SU(2N) Yang-Mills instanton solutions. This work provides, for the first time, exact nonAbelian vortex solutions. We establish the ADHM construction for non-Abelian vortices and identify all the moduli parameters and the complete moduli space.

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Author information

Authors and Affiliations

  1. Department of Physics, Yamagata University, Kojirakawa 1-4-12, Yamagata, Yamagata, 990-8560, Japan

    Minoru Eto

  2. Department of Physics, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617, Taiwan (R.O.C.)

    Toshiaki Fujimori

  3. Department of Physics, and Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa, 223-8521, Japan

    Muneto Nitta

  4. Department of Mathematics and Physics, Graduate School of Science, Osaka City University, Sugimoto 3-3-138, Sumiyoshi, Osaka, 558-8585, Japan

    Keisuke Ohashi

Authors
  1. Minoru Eto
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  2. Toshiaki Fujimori
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  3. Muneto Nitta
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  4. Keisuke Ohashi
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Correspondence to Muneto Nitta.

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Eto, M., Fujimori, T., Nitta, M. et al. All exact solutions of non-Abelian vortices from Yang-Mills instantons. J. High Energ. Phys. 2013, 34 (2013). https://doi.org/10.1007/JHEP07(2013)034

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  • DOI: https://doi.org/10.1007/JHEP07(2013)034

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