Monopole (mathematics)

From Wikipedia, the free encyclopedia

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 Bogomolnyi equation and be of finite action.

[edit] See also

• Nahm equations
• Instanton
• Magnetic monopole
• Yang-Mills equations

[edit] References

• Nigel Hitchin, On the construction of monopoles, Communications in Mathematical Physics, 89 (1983), p. 145-190.
• Simon Donaldson, Nahm's equations and the classification of monopoles, Communications in Mathematical Physics, 96 (1984), p. 387-407.
• Michael Atiyah and Hitchin N.J., The geometry and dynamics of magnetic monopoles, M. B. Porter Lectures. Princeton University Press, Princeton, NJ, 1988. ISBN 0-691-08480-7