Remarks on the complex geometry of the 3-monopole

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dc.creatorBraden, H. W.
dc.creatorEnolski, V. Z.
dc.date2006-01-20
dc.date.accessioned2026-07-07T06:58:24Z
dc.date.available2026-07-07T06:58:24Z
dc.descriptionWe develop the Ercolani-Sinha construction of SU(2) monopoles and make this effective for (a five parameter family of centred) charge 3 monopoles. In particular we show how to solve the transcendental constraints arising on the spectral curve. For a class of symmetric curves the transcendental constraints become a number theoretic problem and a recently proven identity of Ramanujan provides a solution. The Ercolani-Sinha construction provides a gauge-transform of the Nahm data.
dc.description65 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0601040
dc.identifierhttp://arxiv.org/abs/math-ph/0601040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107341
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subjectExactly Solvable and Integrable Systems
dc.titleRemarks on the complex geometry of the 3-monopole
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