Solutions to WDVV from generalized Drinfeld-Sokolov hierarchies

Details Solutions to WDVV from generalized Drinfeld-Sokolov hierarchies Solutions to WDVV from generalized Drinfeld-Sokolov hierarchies

2000-03-21

arxiv.org/abs/math-ph/0003020v1

Physics

Mathematical Physics

33 pages, Times package

Scientific paper

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.

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