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Non-Abelian magnetic monopoles

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Abstract

It is shown that a general, irreducible, SU(n), Sp(n), SO(2n) monopole with maximal symmetry breaking is determined by its spectral data. For SU(n) with minimal symmetry breaking the spectral data is defined and also shown to determine the monopole.

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Author notes

  1. M. K. Murray

    Present address: Department of Mathematics, Research School of Physical Sciences, Australian National University, GPO Box 4, 2601, Canberra, Australia

Authors and Affiliations

  1. Mathematical Sciences Research Institute, 2223 Fulton Street, Room 603, 94720, Berkeley, CA, USA

    M. K. Murray

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  1. M. K. Murray
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Additional information

Communicated by A. Jaffe

Research supported in part by NSF Grant 8120790

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Murray, M.K. Non-Abelian magnetic monopoles. Commun.Math. Phys. 96, 539–565 (1984). https://doi.org/10.1007/BF01212534

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  • DOI: https://doi.org/10.1007/BF01212534

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