The Large <Emphasis Type="Italic">N</Emphasis> Limit of the Nahm Transform |
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Authors: | Email author" target="_blank">Derek?HarlandEmail author |
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Institution: | 1.Department of Mathematical Sciences,Durham University,Durham,UK |
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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 N × N 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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