Twisted GL_n Loop Group Orbit and Solutions of the WDVV Equations
Exactly Solvable and Integrable Systems
2007-05-23 v2 High Energy Physics - Theory
Algebraic Geometry
Abstract
We show that all (n-component) KP tau-functions, which are related to the twisted loop group of , give solutions of the Darboux-Egoroff system of PDE's. Using the Geometry of the Grassmannian we construct from the corresponding wave function the deformed flat coordinates of the Egoroff metric and from this the corresponding solution of the Witten-Dijkgraaf-E. Verlinde-H. Verlinde equations.
Keywords
Cite
@article{arxiv.nlin/0004021,
title = {Twisted GL_n Loop Group Orbit and Solutions of the WDVV Equations},
author = {Johan van de Leur},
journal= {arXiv preprint arXiv:nlin/0004021},
year = {2007}
}
Comments
19 pages, latex, formula for the WDVV prepotential simplified