Spectral curves and the mass of hyperbolic monopoles

Abstract

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.

arXiv comment43 pages, LaTeX, 3 figures

References in corpus (5)

• Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• Symetric Monopoles
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• Symmetric calorons and the rotation map
• Spectral curves of hyperbolic monopoles from ADHM
• Construction of Nahm data and BPS monopoles with continuous symmetries
• Supersymmetry of hyperbolic monopoles
• Hyperbolic monopoles with continuous symmetries
• Platonic solutions of the discrete Nahm equation