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Construction of instanton and monopole solutions and reciprocity Export

Annals of Physics, Vol. 154, No. 1. (15 April 1984), pp. 253-279.

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instantons monopoles reciprocity

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An elementary argument demonstrating the completeness of the Atiyah-Drinfeld-Hitchin-Manin construction of self-dual instanton solutions to Euclidean gauge theories is presented. The adaptation of this discussion to Nahm's construction for SU (2) monopoles is outlined. These constructions are shown to establish a reciprocity or duality between self-dual theories in zero and four dimensions and in one and three dimensions, respectively.


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