Abstract
We describe in mathematical detail the Nahm transformation which maps anti-self dual connections on the four-torus (S 1)4 onto anti-self-dual connections on the dual torus. This transformation induces a map between the relevant instanton moduli spaces and we show that this map is a (hyperKähler) isometry.
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Communicated by A. Jaffe
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Braam, P.J., van Baal, P. Nahm's transformation for instantons. Commun.Math. Phys. 122, 267–280 (1989). https://doi.org/10.1007/BF01257416
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DOI: https://doi.org/10.1007/BF01257416