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Yang-Mills-Higgs soliton dynamics in 2+1 dimensions

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Abstract

Dimensional reduction of the self-dual Yang-Mills equation in 2+2 dimensions produces an integrable Yang-Mills-Higgs-Bogomolnyi equation in 2+1 dimensions. For theSU(1,1) gauge group, a t'Hooft-like ansatz is used to construct a monopole-like solution and an N-soliton-type solution, which describes both the static deformed monopoles and the exotic monopole dynamics including a transmutation. How the monopole solution results from the twistor formalism is shown. Multimonopole solutions are commented on.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

    B. S. Getmanov

  2. Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh, U.K.

    P. M. Sutcliffe

Authors
  1. B. S. Getmanov
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  2. P. M. Sutcliffe
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 117, No. 3, pp. 339–350, December, 1998.

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Getmanov, B.S., Sutcliffe, P.M. Yang-Mills-Higgs soliton dynamics in 2+1 dimensions. Theor Math Phys 117, 1375–1384 (1998). https://doi.org/10.1007/BF02557176

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  • DOI: https://doi.org/10.1007/BF02557176

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