Michael Murray and Michael Singer 1996 Nonlinearity 9 973 doi:10.1088/0951-7715/9/4/009
Spectral curves of non-integral hyperbolic monopoles
Michael Murray
and Michael Singer§
Recommended by P Goddard
The twistor desription of non-integral 
-monopoles on hyperbolic 3-space is developed and some consequences discussed. It is shown that in a precise sense, any appropriately decaying hyperbolic monopole is determined by its asymptotic values, and also that such monopoles determine and are determined by their spectral data (which reduces to a complex algebraic curve when n = 2). This paper provides the hyperbolic analogue of the work of Hitchin and others on euclidean monopoles and generalizes that of Atiyah and Braam - Austin on integral hyperbolic monopoles.
- PACS
-
02.10.-v Logic, set theory, and algebra
02.20.Qs General properties, structure, and representation of Lie groups
- MSC
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81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
22E60 Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx)
- Subjects
- Dates
-
Issue 4 (July 1996)
Received 27 October 1995, in final form 18 April 1996
-
Spectral curves of non-integral hyperbolic monopoles
Michael Murray and Michael Singer 1996 Nonlinearity 9 973
-
Symmetric monopoles
N J Hitchin et al 1995 Nonlinearity 8 661
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