The large N limit of the Nahm transform

Details The large N limit of the Nahm transform The large N limit of the Nahm transform

2011-02-15

arxiv.org/abs/1102.3048v1

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 5 figures

Scientific paper

We consider the large N limit of the Nahm transform, which relates charge N monopoles to solutions to the Nahm equation involving NxN matrices. In the large N limit the former approaches a magnetic bag, and the latter approaches a solution of the Nahm equation based on the Lie algebra of area-preserving vector fields on the 2-sphere. We show that the Nahm transform simplifies drastically in this limit.

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