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Asymptotic Metrics for SU(N)-Monopoles with Maximal Symmetry Breaking

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Abstract:

We compute the asymptotic metrics for moduli spaces of SU(N) monopoles with maximal symmetry breaking. These metrics are exponentially close to the exact monopole metric1 as soon as, for each simple root, the individual monopoles corresponding to that root are well separated. We also show that the estimates can be differentiated term by term in natural coordinates, which is a new result even for SU(2) monopoles.

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  1. Max-Planck-Institut für Mathematik, Gottfried-Claren-Strasse 26, 53225 Bonn, Germany.¶E-mail: rogerb@mpim-bonn.mpg.de, , , , , , DE

    Roger Bielawski

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  1. Roger Bielawski
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Received: 19 March 1998 / Accepted: 4 May 1998

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Bielawski, R. Asymptotic Metrics for SU(N)-Monopoles with Maximal Symmetry Breaking. Comm Math Phys 199, 297–325 (1998). https://doi.org/10.1007/s002200050503

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  • DOI: https://doi.org/10.1007/s002200050503

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