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Supersymmetric Yang-Mills theory on a four-manifold. (English) Zbl 0822.58067

Summary: By exploiting standard facts about \(N = 1\) and \(N = 2\) supersymmetric Yang-Mills theory, the Donaldson invariants of four-manifolds that admit a Kähler metric can be computed. The results are in agreement with available mathematical computations, and provide a powerful check on the standard claims about supersymmetric Yang-Mills theory.

MSC:

58Z05 Applications of global analysis to the sciences
81T13 Yang-Mills and other gauge theories in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
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