Hyperbolic monopoles, JNR data and spectral curves
نویسندگان
چکیده
منابع مشابه
Hyperbolic monopoles, JNR data and spectral curves
A large class of explicit hyperbolic monopole solutions can be obtained from JNR instanton data, if the curvature of hyperbolic space is suitably tuned. Here we provide explicit formulae for both the monopole spectral curve and its rational map in terms of JNR data. Examples with platonic symmetry are presented, together with some one-parameter families with cyclic and dihedral symmetries. Thes...
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In (??), a is an SUn-connection on the trivial bundle over H, Fa is its curvature, iφ (the Higgs field) is a section of the adjoint bundle, and ∗ is the Hodge ∗-operator on H. We regard two monopoles as the same if they are gauge-equivalent. (The reason for our apparently eccentric notation for the Higgs field will become clear in §3.) We shall develop the twistor description of solutions of (?...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2014
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/28/1/211