Spectral curves and the mass of hyperbolic monopoles

Details Spectral curves and the mass of hyperbolic monopoles Spectral curves and the mass of hyperbolic monopoles

2005-12-23

arxiv.org/abs/math-ph/0512083v1

Commun.Math.Phys.270:295-333,2007

Physics

Mathematical Physics

43 pages, LaTeX, 3 figures

Scientific paper

10.1007/s00220-006-0148-4

The 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.

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