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The Sen conjecture for fundamental monopoles of distinct type

High Energy Physics - Theory 2009-10-07 v1 General Relativity and Quantum Cosmology

Abstract

I exhibit a middle-dimensional square integrable harmonic form on the moduli space of distinct fundamental BPS monopoles of an arbitrary Lie group. This is in accord with Sen's S-duality conjecture. I also show that the moduli space has no closed or bound geodesics.

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Cite

@article{arxiv.hep-th/9603176,
  title  = {The Sen conjecture for fundamental monopoles of distinct type},
  author = {G W Gibbons},
  journal= {arXiv preprint arXiv:hep-th/9603176},
  year   = {2009}
}

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12 pages plain Tex