Abstract
In these lectures I am going to give an elementary introduction to the Seiberg-Witten theory, i.e. the exact solutions of N = 2 supersymmetric Yang-Mills theories. Seiberg-Witten solution [1, 2] is the first exact solution in strongly-coupled quantum gauge theories in 4-dimensions. The solution was first constructed for SU(2) Yang-Mills theory with 0 ≤ N f ≤ 4 hypermultiplets in vector representations. It was subsequently generalized to the case of classical gauge groups SU(N), SO(N), Sp(N) [3, 4, 5, 7, 8, 9, 10] and provides a wealth of information on the strong coupling dynamics of gauge theories. There are excellent pedagogical reviews on Seiberg-Witten theory [11, 12, 13].
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Eguchi, T. (1999). Seiberg-Witten Theory and S-Duality. In: Baulieu, L., Di Francesco, P., Douglas, M., Kazakov, V., Picco, M., Windey, P. (eds) Strings, Branes and Dualities. NATO ASI Series, vol 520. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4730-9_3
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