Two integrable systems related to hyperbolic monopoles.

Ward, R.S.

Abstract

Monopoles on hyperbolic 3-space were introduced by Atiyah in 1984. This article describes two integrable systems which are closely related to hyperbolic monopoles: a one-dimensional lattice equation (the Braam-Austin or discrete Nahm equation), and a soliton system in (2-1-1)- dimensional anti-deSitter space-time.

Citation

Ward, R. (1999). Two integrable systems related to hyperbolic monopoles. Asian Journal of Mathematics, 3(1), 325-332. https://doi.org/10.4310/ajm.1999.v3.n1.a12

• Journal Article Type: Article
• Acceptance Date: Nov 12, 1998
• Publication Date: 1999
• Journal: Asian Journal of Mathematics
• Print ISSN: 1093-6106
• Electronic ISSN: 1945-0036
• Publisher: International Press
• Volume: 3
• Issue: 1
• Pages: 325-332
• DOI: https://doi.org/10.4310/ajm.1999.v3.n1.a12