Solutions to WDVV from generalized Drinfeld-Sokolov hierarchies
Mathematical Physics
2016-09-07 v1 math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.math-ph/0003020,
title = {Solutions to WDVV from generalized Drinfeld-Sokolov hierarchies},
author = {Oleksandr Pavlyk},
journal= {arXiv preprint arXiv:math-ph/0003020},
year = {2016}
}
Comments
33 pages, Times package