Topological Field Theory approach to the Generalized Benney Hierarchy

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, Revtex

Scientific paper

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.

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