Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-11-25
Fortsch.Phys. 45 (1997) 237-292
Physics
High Energy Physics
High Energy Physics - Theory
72 pages, LaTeX, macros included, a few references added
Scientific paper
10.1002/prop.2190450303
An elementary introduction into the Seiberg-Witten theory is given. Many efforts are made to get it as pedagogical as possible, 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 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. Other gauge groups are also considered. Some related issues (like adding matter, confinement, string dualities) are outlined.
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