### 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 the SU(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.

Original language | English |
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Pages (from-to) | 1375-1384 |

Number of pages | 10 |

Journal | Theoretical and Mathematical Physics |

Volume | 117 |

Issue number | 3 |

Publication status | Published - Dec 1998 |

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### Cite this

*Theoretical and Mathematical Physics*,

*117*(3), 1375-1384.

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*Theoretical and Mathematical Physics*, vol. 117, no. 3, pp. 1375-1384.

**Yang-Mills-Higgs soliton dynamics in 2 + 1 dimensions.** / Getmanov, B. S.; Sutcliffe, P M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Yang-Mills-Higgs soliton dynamics in 2 + 1 dimensions

AU - Getmanov, B. S.

AU - Sutcliffe, P M

PY - 1998/12

Y1 - 1998/12

N2 - 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 the SU(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.

AB - 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 the SU(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.

UR - http://www.scopus.com/inward/record.url?scp=0039988285&partnerID=8YFLogxK

M3 - Article

VL - 117

SP - 1375

EP - 1384

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

SN - 0040-5779

IS - 3

ER -