# 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.

## 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.