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The Large N Limit of the Nahm Transform

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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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Authors and Affiliations

  1. Department of Mathematical Sciences, Durham University, Durham, DH1 3LE, UK

    Derek Harland

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  1. Derek Harland
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Correspondence to Derek Harland.

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Communicated by P.T. Chruściel

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Harland, D. The Large N Limit of the Nahm Transform. Commun. Math. Phys. 311, 689–712 (2012). https://doi.org/10.1007/s00220-011-1378-7

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  • DOI: https://doi.org/10.1007/s00220-011-1378-7

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