Monopole (mathematics)
In mathematics, a monopole is a connection over a principal bundle G with a section (the Higgs field) of the associated adjoint bundle. The connection and Higgs field should satisfy the Bogomolny equations and be of finite action.
See also
References
- Hitchin, Nigel (1983). "On the construction of monopoles". Communications in Mathematical Physics 89 (2): 145–190. doi:10.1007/BF01211826.
- Donaldson, Simon (1984). "Nahm's equations and the classification of monopoles". Communications in Mathematical Physics 96 (3): 387–407. doi:10.1007/BF01214583.
- Atiyah, Michael; Hitchin, N. J. (1988). The geometry and dynamics of magnetic monopoles. M. B. Porter Lectures. Princeton, NJ: Princeton University Press. ISBN 0-691-08480-7.
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