### Abstract

An elementary introduction into the Seiberg-Witten theory is given. Every effort is made to get it as pedagogical as possible, and within a reasonable size. The selection of the relevant material is heavily oriented towards graduate students. The basic ideas about solitons, monopoles, supersymmetry and duality are reviewed from the first principles, and they are illustrated on the simplest examples. The exact Seiberg-Witten solution to the low-energy effective action of the four-dimensional N = 2 supersymmetric pure Yang-Mills theory with the gauge group SU(2) is the main subject of the review. A generalization of that approach to other gauge groups is also discussed in some detail. Some related issues (adding matter, confinement, string dualities) are outlined.

Original language | English |
---|---|

Pages (from-to) | 237-292 |

Number of pages | 56 |

Journal | Fortschritte der Physik |

Volume | 45 |

Issue number | 3-4 |

Publication status | Published - 1997 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Fortschritte der Physik*,

*45*(3-4), 237-292.

**Solitons, monopoles, and duality : From Sine-Gordon to Seiberg-Witten.** / Ketov, Sergei V.

Research output: Contribution to journal › Article

*Fortschritte der Physik*, vol. 45, no. 3-4, pp. 237-292.

}

TY - JOUR

T1 - Solitons, monopoles, and duality

T2 - From Sine-Gordon to Seiberg-Witten

AU - Ketov, Sergei V.

PY - 1997

Y1 - 1997

N2 - An elementary introduction into the Seiberg-Witten theory is given. Every effort is made to get it as pedagogical as possible, and within a reasonable size. The selection of the relevant material is heavily oriented towards graduate students. The basic ideas about solitons, monopoles, supersymmetry and duality are reviewed from the first principles, and they are illustrated on the simplest examples. The exact Seiberg-Witten solution to the low-energy effective action of the four-dimensional N = 2 supersymmetric pure Yang-Mills theory with the gauge group SU(2) is the main subject of the review. A generalization of that approach to other gauge groups is also discussed in some detail. Some related issues (adding matter, confinement, string dualities) are outlined.

AB - An elementary introduction into the Seiberg-Witten theory is given. Every effort is made to get it as pedagogical as possible, and within a reasonable size. The selection of the relevant material is heavily oriented towards graduate students. The basic ideas about solitons, monopoles, supersymmetry and duality are reviewed from the first principles, and they are illustrated on the simplest examples. The exact Seiberg-Witten solution to the low-energy effective action of the four-dimensional N = 2 supersymmetric pure Yang-Mills theory with the gauge group SU(2) is the main subject of the review. A generalization of that approach to other gauge groups is also discussed in some detail. Some related issues (adding matter, confinement, string dualities) are outlined.

UR - http://www.scopus.com/inward/record.url?scp=0031451288&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031451288&partnerID=8YFLogxK

M3 - Article

VL - 45

SP - 237

EP - 292

JO - Fortschritte der Physik

JF - Fortschritte der Physik

SN - 0015-8208

IS - 3-4

ER -