On the Construction of Monopoles for
نویسنده
چکیده
Monopoles are solutions of a first order partial differential equation — the Bogomolny equation. They can be thought of as approximated by static, magnetic particles in R. In these notes we will consider what monopoles are and some of the various approaches to understanding them. In particular we will discuss the spectral curve, twistor theory, Nahm transform and rational map of a monopole. A good starting reference for all this material is the book by Atiyah and Hitchin [2] on monopole scattering, in particular Chapter 16 ‘Background Material’ from which these notes have borrowed notation. See also the excellent survey by Sutcliffe [22].
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تاریخ انتشار 1989