Topological Field Theory approach to the Generalized Benney Hierarchy
High Energy Physics - Theory
2007-05-23 v1
Abstract
The integrability of the generalized Benney hierarchy with three primary fields is investigated from the point of view of two-dimensional topological field theories coupled to gravity. The associated primary free energy and correlation functions at genus zero are obtained via Landau-Ginzburg formulation and the string equation is derived using the twistor construction for the Orlov operators. By adopting the approach of Dubrovin and Zhang we obtain the genus-one corrections of the Poisson brackets of the generalized Benney hierarchy.
Cite
@article{arxiv.hep-th/0108059,
title = {Topological Field Theory approach to the Generalized Benney Hierarchy},
author = {Jen-Hsu Chang and Ming-Hsien Tu},
journal= {arXiv preprint arXiv:hep-th/0108059},
year = {2007}
}
Comments
26 pages, Revtex