A twistor approach to Nahm’s equations

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Abstract
It has been shown that Nahm’s equations T′=TΛT may be regarded as dimensionally reduced self‐duality conditions. Ward’s twistor method is applied to construct a holomorphic vector bundle corresponding to each solution of these equations, and a simple expression for the transition matrix is derived. Some elementary examples are given for which this procedure may be explicitly reversed to generate solutions of Nahm’s equations from given transition matrices.

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