Monopole (mathematics)
In mathematics, a monopole is a connection over a principal bundle G with a section of the associated adjoint bundle.
Physical interpretation
Physically, the section can be interpreted as a Higgs field, where the connection and Higgs field should satisfy the Bogomolny equations and be of finite action.
gollark: It's not, really. Central planning is just *not* tractable.
gollark: Oh, you mean *I'm* "spy"? Right.
gollark: Still, stuff *mostly* works currently.
gollark: Status quo problematic, some thing or other probably better, ☭ bad.
gollark: That's the case with Scottish university, apparently.
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.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.