Solutions to WDVV from generalized Drinfeld-Sokolov hierarchies

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 geomet...

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Bibliographic Details
Published inarXiv.org
Main Author Pavlyk, Oleksandr
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.03.2000
Subjects
Hierarchies
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Summary: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.
ISSN:2331-8422