On the constraints defining BPS monopoles
Item Type:Journal Article
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.
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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: HOUGHTON, CONOR JAMES
Publisher:Springer Science and Business Media
Type of material:Journal Article
Series/Report no:Communications in Mathematical Physics
Availability:Full text available
Keywords:Pure & Applied Mathematics