Spectral curves and the mass of hyperbolic monopoles

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dc.creatorNorbury, Paul
dc.creatorRomão, Nuno M.
dc.date2005-12-23
dc.date.accessioned2026-07-07T10:46:37Z
dc.date.available2026-07-07T10:46:37Z
dc.descriptionThe moduli spaces of hyperbolic monopoles are naturally fibred by the monopole mass, and this leads to a nontrivial mass dependence of the holomorphic data (spectral curves, rational maps, holomorphic spheres) associated to hyperbolic multi-monopoles. In this paper, we obtain an explicit description of this dependence for general hyperbolic monopoles of magnetic charge two. In addition, we show how to compute the monopole mass of higher charge spectral curves with tetrahedral and octahedral symmetries. Spectral curves of euclidean monopoles are recovered from our results via an infinite-mass limit.
dc.description43 pages, LaTeX, 3 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0512083
dc.identifierhttp://arxiv.org/abs/math-ph/0512083
dc.identifierCommun.Math.Phys.270:295-333,2007
dc.identifierdoi:10.1007/s00220-006-0148-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183292
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subject32L25; 14H70
dc.titleSpectral curves and the mass of hyperbolic monopoles
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