The large N limit of the Nahm transform

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.

30 pages, 5 figures

References in corpus (6)

• A survey on Nahm transform
• Monopoles and Holography
• A Monopole Wall
• BPS Magnetic Monopole Bags
• Magnetic Bags and Black Holes
• Numerical Investigation of Monopole Chains

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• Magnetic bag like solutions to the SU(2) monopole equations on R^3
• Magnetic bags in hyperbolic space
• Magnetic Domains
• On the charge density and asymptotic tail of a monopole
• High Q BPS Monopole Bags are Urchins