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
Solitons, monopoles, and duality : From Sine-Gordon to Seiberg-Witten. / Ketov, Sergei V.
In: Fortschritte der Physik, Vol. 45, No. 3-4, 1997, p. 237-292.Research output: Contribution to journal › Article
}
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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0031451288&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0031451288
VL - 45
SP - 237
EP - 292
JO - Fortschritte der Physik
JF - Fortschritte der Physik
SN - 0015-8208
IS - 3-4
ER -