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arXiv · 1102.3048

The large N limit of the Nahm transform

Derek Harland
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Abstract

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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Derek Harland. 2011-02-15. The large N limit of the Nahm transform. https://doi.org/10.1007/s00220-011-1378-7

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