On the constraints defining BPS monopoles
Citation:
Houghton, C.J. and Manton, N.S. and Romao, N. M. 'On the constraints defining BPS monopoles' in Communications in Mathematical Physics, 212, (1), 2000, pp 219-243.Download Item:
Abstract:
We discuss the explicit formulation of the transcendental constraints defining
spectral curves of SU.2/ BPS monopoles in the twistor approach of Hitchin, following
Ercolani and Sinha. We obtain an improved version of the Ercolani?Sinha constraints,
and show that the Corrigan?Goddard conditions for constructing monopoles of arbitrary
charge can be regarded as a special case of these.As an application, we study the spectral
curve of the tetrahedrally symmetric 3-monopole, an example where the Corrigan?
Goddard conditions need to be modified.A particular 1-cycle on the spectral curve plays
an important role in our analysis.
Author's Homepage:
http://people.tcd.ie/houghtcjDescription:
PUBLISHED
Author: HOUGHTON, CONOR JAMES
Publisher:
Springer Science and Business MediaType of material:
Journal ArticleSeries/Report no:
Communications in Mathematical Physics212 (1)
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Full text availableKeywords:
Pure & Applied MathematicsISSN:
0010-3616Metadata
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