Solutions to WDVV from generalized Drinfeld-Sokolov hierarchies

2000/03/21 by Pavlyk, Oleksandr
#35Q53 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.math-ph/0003020

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=D₄ and [w]=D₄(a₁) is considered in details and corresponding Frobenius structure is found.

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