Solutions of the WDVV Equations and Integrable Hierarchies of KP type

Details Solutions of the WDVV Equations and Integrable Hierarchies of KP type Solutions of the WDVV Equations and Integrable Hierarchies of KP type

2001-04-10

arxiv.org/abs/hep-th/0104092v1

Commun.Math.Phys. 239 (2003) 155-182

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX

Scientific paper

10.1007/s00220-003-0883-8

We show that reductions of KP hierarchies related to the loop algebra of
$SL_n$ with homogeneous gradation give solutions of the Darboux-Egoroff system
of PDE's. Using explicit dressing matrices of the Riemann-Hilbert problem
generalized to include a set of commuting additional symmetries, we construct
solutions of the Witten--Dijkgraaf--E. Verlinde--H. Verlinde equations.

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