One-Dimensional Toda Molecule. II : The Solutions Applied to Bogomolny Monopoles with Spherical Symmetry
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概要
- 論文の詳細を見る
By imposing appropriate boundary conditions on the general solution of the one-dimensional Toda molecule equations associated with arbitrary classical group G, solutions of the spherically symmetric Bogomolny equations in spontaneously broken Yang-Mills gauge theories with group G are obtained. The solutions in the specific cases of SU (2), SU(3), Sp(2), SO(5) and SO(6) are explicitly written down. For the SU(N+1), Sp(N) and SO(2N+1) cases, general formulae for the solutions are derived in terms of the parameters introduced in [I]; the derivation involves determining the first Toda variable and then using it to successively generate the n-th variables.
- 理論物理学刊行会の論文
- 1983-09-25
著者
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MINAMI Masatsugu
Research Institute for Mathematical Sciences Kyoto University
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FARWELL Ruth
St. Mary's College
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Farwell Ruth
St. Mary's College
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MINAMI Masatsugu
Research Institute for Mathematical Sciences, Kyoto University
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