WDVV Equations, Darboux-Egoroff Metric and the Dressing Method
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
Dressing technique is used to construct commuting Lax operators which provide an integrable (canonical) structure behind Witten--Dijkgraaf--Verlinde--Verlinde equations. The commuting flows are related to the isomonodromic flows. Examples of the canonical integrable structure are given in two- and three-dimensional cases. The three-dimensional example is associated with the rational Landau-Ginzburg potentials.
Cite
@article{arxiv.math-ph/0210038,
title = {WDVV Equations, Darboux-Egoroff Metric and the Dressing Method},
author = {H. Aratyn and J. F. Gomes and J. W. van de Leur and A. H. Zimerman},
journal= {arXiv preprint arXiv:math-ph/0210038},
year = {2007}
}
Comments
Contribution to the conference "Workshop on Integrable Theories, Solitons and Duality", Unesp2002, LaTeX file w. JHEP style file