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 Bogomolnyi equation and be of finite action.

See also

• Nahm equations
• Instanton
• Magnetic monopole
• Yang–Mills theory

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 geometry-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Differential geometry Mathematical physics Geometry stubs Wikimedia Foundation. 2010. Игры ⚽ Поможем решить контрольную работу John Ramsey (dramatist) Billy Bingham Look at other dictionaries: Monopole — may refer to: Magnetic monopole, or Dirac monopole, a hypothetical particle that may be loosely described as a magnet with only one pole, or related concepts in physics and mathematics: Wu–Yang monopole, a monopole solution of Yang Mills… …   Wikipedia List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …   Wikipedia Magnetic monopole — It is impossible to make magnetic monopoles from a bar magnet. If a bar magnet is cut in half, it is not the case that one half has the north pole and the other half has the south pole. Inst …   Wikipedia Pole — may refer to:Cylindrical object*A solid cylindrical object with length greater than its diameter e.g: **Barber s pole, advertising a barber shop **Danish pole, a circus prop **Firemen s pole, a wooden pole or a metal tube or pipe installed… …   Wikipedia Andreas Floer — à l âge de 19 ans. Andreas Floer [fløːɐ] (23 août 1956 15 …   Wikipédia en Français Paul Dirac — Paul Adrien Maurice Dirac Born Paul Adrien Maurice Dirac 8 August 1902(1902 08 08) Bristol, England …   Wikipedia Magnetic field — This article is about a scientific description of the magnetic influence of an electric current or magnetic material. For the physics of magnetic materials, see magnetism. For information about objects that create magnetic fields, see magnet. For …   Wikipedia Abdus Salam — For other people with the name, see Abdus Salam (name). Dr. Abdus Salam Born January 29, 1926 Jhang, Punjab …   Wikipedia Dynastie Song/Traduction à faire — Modèle:Otheruses Sommaire 1 0 2 Histoire de la dynastie Song 2.1 Les Song du Nord 2.2 Les Song du Sud …   Wikipédia en Français CSS3 — Feuilles de style en cascade Pour les articles homonymes, voir CSS. CSS (Cascading Style Sheets : feuilles de style en cascade) est un langage informatique qui sert à décrire la présentation des documents HTML et XML. Les standards… …   Wikipédia en Français 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”