Twisted GL_n Loop Group Orbit and Solutions of the WDVV Equations

Details Twisted GL_n Loop Group Orbit and Solutions of the WDVV Equations Twisted GL_n Loop Group Orbit and Solutions of the WDVV Equations

2000-04-12

arxiv.org/abs/nlin/0004021v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages, latex, formula for the WDVV prepotential simplified

Scientific paper

We show that all (n-component) KP tau-functions, which are related to the twisted loop group of $GL_n$, 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.

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