English

The large N limit of the Nahm transform

High Energy Physics - Theory 2013-01-01 v1

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.

Keywords

Cite

@article{arxiv.1102.3048,
  title  = {The large N limit of the Nahm transform},
  author = {Derek Harland},
  journal= {arXiv preprint arXiv:1102.3048},
  year   = {2013}
}

Comments

30 pages, 5 figures