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On a generalised Fourier transform of instantons over flat tori

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Abstract

Recently P. Braam pointed out that Nahm's adaption of the ADHM procedure to the case of monopoles equally well applies to instantons over flat tori, relating them to instantons over the first Brillouin zone. We show that this construction has an inverse. Hence the Nahm transform actually is a duality transform.

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Authors and Affiliations

  1. Physikalisches Institut, Universität Bonn, Nussallee 12, D-5300, Bonn 1, Federal Republic of Germany

    H. Schenk

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  1. H. Schenk
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Communicated by C. H. Taubes

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Schenk, H. On a generalised Fourier transform of instantons over flat tori. Commun.Math. Phys. 116, 177–183 (1988). https://doi.org/10.1007/BF01225253

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  • DOI: https://doi.org/10.1007/BF01225253

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