Monopoles on R5 and Generalized Nahm's equations
Abstract
Our approach to define monopoles is twistorial and we start by developing the twistor theory of R5, which is an analogue of the twistor theory for R3 developed by Hitchin. Using this, we describe a Hitchin-Ward transform for R5, that gives monopoles. In order for us to construct monopoles we make use of spectral curves. Then, using those spectral curves we find a new system of equations, analogue to the Nahm's equations.
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