Solutions to WDVV from generalized Drinfeld-Sokolov hierarchies

Abstract

The dispersionless limit of generalized Drinfeld-Sokolov hierarchies associated to primitive regular conjugacy class of Weyl group W(g) is discussed. The map from these generalized Drinfeld - Sokolov hierarchies to algebraic solutions to WDVV equations has been constructed. Finite dimensional geometry behind hierarchies is studied. Example of g=D_4 and [w]=D_4(a_1) is considered in details and corresponding Frobenius structure is found.

33 pages, Times package

References in corpus (2)

• W-Algebras from Soliton Equations and Heisenberg Subalgebras
• The conservation of the Hamiltonian structures in Whitham's method of averaging

Cited by in corpus (2)

• On classification and construction of algebraic Frobenius manifolds
• 4-dimensional Frobenius manifolds and Painleve' VI