Ward’s solitons

Using the ‘Riemann Problem with zeros’ method, Ward has constructed exact solutions to a $(2 + 1)$ –dimensional integrable Chiral Model, which exhibit solitons with nontrivial scattering. We give a correspondence between what we conjecture to be all pure soliton solutions and certain holomorphic vector bundles on a compact surface.

Keywords

integrable system, chiral field, sigma model, soliton, monad, uniton, harmonic map

Mathematical Subject Classification

Secondary: 58F07

References

Forward citations

Publication

Received: 4 December 1996

Revised: 16 May 1997

Published: 14 July 1997

Proposed: Simon Donaldson

Seconded: Frances Kirwan, Peter Kronheimer

Authors

Christopher Anand
Department of Pure Mathematics and Mathematical Statistics University of Cambridge 16 Mill Lane Cambridge CB2 1SB United Kingdom

Volume 1, issue 1 (1997)

Christopher Anand